In 2050 B. S. , the sum of the ages of Madan Bahadur and Hari Bahadur was 40 years. If in 2065 B. S. The ratio of their ages was 3:4, find their ages in 2080 B. S. ​

Answers

Answer 1

Madan Bahadur would be 41.25 years old and Hari Bahadur would be 60 years old in 2080 B.S.

To solve this problem, we need to use some basic algebraic equations. Let M be the age of Madan Bahadur and H be the age of Hari Bahadur in 2050 B.S. Then we have:

M + H = 40 (Equation 1)

In 2065 B.S., their ages are M+15 and H+15, respectively. We are given that the ratio of their ages was 3:4, so we can write:

(M+15)/(H+15) = 3/4 (Equation 2)

We can simplify Equation 2 by cross-multiplying:

4(M+15) = 3(H+15)

Expanding the brackets, we get:

4M + 60 = 3H + 45

Rearranging the terms, we have:

4M - 3H = 45 - 60

4M - 3H = -15 (Equation 3)

Now we have three equations (Equations 1, 2, and 3) with three unknowns (M, H, and their ages in 2080 B.S.). We can solve for M and H first, and then use their ages in 2065 B.S. to find their ages in 2080 B.S.

From Equation 1, we can write:

H = 40 - M

Substituting this into Equation 3, we get:

4M - 3(40 - M) = -15

Expanding the brackets, we get:

7M - 120 = -15

Adding 120 to both sides, we get:

7M = 105

Dividing both sides by 7, we get:

M = 15

Substituting this value into Equation 1, we get:

H = 40 - M = 25

Therefore, Madan Bahadur was 15 years old and Hari Bahadur was 25 years old in 2050 B.S. Now we can use their ages in 2065 B.S. to find their ages in 2080 B.S.

In 2065 B.S., their ages were M+15 = 30 and H+15 = 40, respectively. We are given that the ratio of their ages was 3:4, so we can write:

30x = 3y (Equation 4)

40x = 4y (Equation 5)

where x and y are positive integers.

We can simplify Equation 4 by dividing both sides by 3:

10x = y

Substituting this into Equation 5, we get:

40x = 4(10x)

Dividing both sides by 4x, we get:

10 = 1/x

Therefore, x = 1/10. Substituting this into Equation 4, we get:

y = 10x = 1

So their ages in 2065 B.S. were 30 and 40 years, respectively.

Finally, we can use the same ratio of 3:4 to find their ages in 2080 B.S.:

Madan Bahadur's age in 2080 B.S. = 30 + 15(3/4) = 41.25 years

Hari Bahadur's age in 2080 B.S. = 40 + 15(4/3) = 60 years

Learn more about ratio at: brainly.com/question/31945112

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Related Questions

A right triangle has an angle that measures 47°. What is the measurement of the third angle in the triangle?​

Answers

Answer:

43 degrees

Step-by-step explanation:

every triangle all three angles equal 180 for a right triangle you know that one angle is 90 degrees for this triangle we know that another angle is 47 so

90+47 = 137 now we can take 180 - 137 = 43

so your third angle is 43

hope I helped!!

what’s the answer, help please !

Answers

4(5x - 2) - 2(9 - 3x)

= 26x - 26



plato de Leonardo tiene 0.2 kg de arroz y el de su hermana Leticia tiene 0.3 kg si quieren que los dos tengan lo mismo y los juntan para después repartirse los en partes iguales cuánto tendrá cada plato​

Answers

Answer:

0.5 kg

Step-by-step explanation:

find the area of the shape using Pythagoras Theorem please​

Answers

Answer:

122.09 (the answer may change depending on how many decimals you need if you need more or less just follow the steps using however many decimals)

Step-by-step explanation:

to get the other triangle side do 18-11= 7

then use the Pythagoras theorem to solve for the other side so 7^2+b^2=11^2

49+b^2= 121

121-49= b^2

72=b^2

b= 8.48(simplified)

then use that side to get the area of the rectangle:

8.42×11=92.62

then get area of the triangle:

1/2(8.42×7)=29.47

add the 2 areas to get total area:

92.62+29.47=122.09

help quick due in 10 mins

Answers

Answer:

95

Step-by-step explanation:

We have the expression q over 19 = 5 and are asked to solve for q.

We have a dillemma here, q is in a fraction, to solve, all we need to do is get rid of this fraction. Since 19 is the denominator, we can multiply it by both sides :

[tex]\frac{q}{19} = 5[/tex]

19 * 5

95

Therefore :

q = 95

can someone pls help me
write 3lgx + 2-lgy as a single logarithm​

Answers

Answer:

log(x^3*y^(-2))

Step-by-step explanation:

two log rules you need to know for this question:

alogb = log(a^b)

logx + logy = logxy

you can start by getting rid of the term in front of the log, or a

also is it 2 minus or 2 times negative? im assuming it's 2 times negative because it is more likely

log (x^3) + log (y^-2) = log (x^3*y^-2)

On a map, 90 miles is represented by 3 inches. A measure of inch on the map would represent miles.

Answers

Complete Question

On a map, 90 miles is represented by 3 inches. A measure of 1/2 inch on the map would represent miles.

Answer:

15 miles

Step-by-step explanation:

From the above question,

3 inches = 90 miles

1/2 inch = x miles

Cross Multiply

3 inches × x miles = 90 miles × 1/2 inch

x miles = 90 miles × 1/2 inch/3 inches

x miles = 15 miles

Therefore, a measure of 1/2 inch on the map would represent 15 miles

A bag contains 5 red marbles, 6 blue marble, 3 green marbles, 4 black marbles, 2 yellow marbles. A marble will be drawn from a bag and replaced 200 times. What is a resonanle predition for each times a yellow or green marble will be drawn

Answers

Answer:

50 times

Step-by-step explanation:

Red = 5 ; blue = 6 ; green = 3 ; black = 4 ; yellow = 2

Total number of marbles :

(5 + 6 + 3 + 4 + 2) = 20

Probability of drawing a yellow or green marble :

P(yellow) + p(green)

(2 / 20) + (3 / 20)

5 / 20

Hence, Number of times from 200 draws :

(5 / 20) * 200

= 50

Joe lost 4 kg and now weighs 60 kg. What percentage of his original weight did he lose?

Answers

Answer:

60-4 is 56

and 56 by 100

Step-by-step explanation:

The  percentage of his original weight did he lose is 56%.

Given that,

Joe lost 4 kg and now weighs 60 kg.

Calculation:

[tex]= ( 60 - 4) \div 100[/tex]

= 56%

learn more about the percentage here: https://brainly.com/question/16616666

A large rectangular box has a volume of 15.75 cubic feet. The box is 2.5 feet long and 1.5 feet wide. What is the height of the box?

Answers

Answer:

2.5 x 1.5= 3.75

15.75/3.75=4.2

Answer- 4.2

Step-by-step explanation:

I need help on this assignment, I need to find the angles of the blank spaces. Anything is appreciated!

Answers

Answer:

3: 97

10: 97

9: 83

5: 97

7: 83

16: 97

Im 100% on these answers bc Ive already taken this class :)

Answer:

Step-by-step explanation:

9) m∠3 = m∠2  {Vertically opposite angles}

m∠3 = 97

m∠10 = m∠2       {Corresponding angle}

m∠10 = 97

m∠9 +m∠10 = 180  {Linear pair}

m∠9 + 97   = 180

         m∠9 = 180 - 97

        m∠9  = 83

m∠6 = 83

m∠5 + m∠6 = 180 {linear pair}

m∠5 + 83 = 180

         m∠5 = 180 - 83

m∠5 = 97

m∠7 = m∠6  

m∠7 = 83

m∠8 = m∠5           {Vertically opposite angles}

m∠8 = 97

m∠16 = m∠8      {Corresponding angle}

m∠16 = 97

Joan measures the mass of a solid metal object. It has a mass of 102.0 g. She also measures the volume of that object and the object has a volume of q 027 mL a)

What is the density of the metal object?
What metal could it be made Of?

Answers

Step-by-step explanation:

P=m/v

P=102,0 ÷027

P=3,77 that is the density

It is made of copper

2^2/5+ 3^1/10
HELP ASAP

Answers

Answer:

[tex]\sqrt[5]{4}[/tex]  + [tex]\sqrt[10]{3}[/tex]

Step-by-step explanation:

We sure can write 2^2/5+ 3^1/10 as [tex]2^{\frac{2}{5} } + 3^{\frac{1}{10} }[/tex]

// use the [tex]a^{\frac{m}{n} } =\sqrt[n]{a^{m} }[/tex] to transform the expression

Convert [tex]2^{\frac{2}{5} }[/tex] to [tex]\sqrt[5]{2^{2} }[/tex] = [tex]\sqrt[5]{4}[/tex]                        (here a = 2, n = 5, m = 2)

Then convert  [tex]3^{\frac{1}{10} }[/tex] to [tex]\sqrt[10]{3^{1} }[/tex] = [tex]\sqrt[10]{3}[/tex]             (here a = 3, n = 10, m = 1)

Now we get  [tex]2^{\frac{2}{5} } + 3^{\frac{1}{10} }[/tex] = [tex]\sqrt[5]{4}[/tex]  + [tex]\sqrt[10]{3}[/tex] . This is the simplified form, which is the answer.

Find the 11th term of the geometric sequence 10,-40,160, ...

Answers

Answer: The 11th term is 6144

Step-by-step explanation: luv ya boo thang

What is the value of the expression 52 + 22?

Answers

Answer:

55 + 22 = n

= 77

n = 77

Hope this helps! :D

Step-by-step explanation:

What is the square root?

Answers

The answer is 8 if I’m wrong someone correct me

April wrote two equations to represent this system of equations. She wrote: y = 5x +
I and y = 14x - 10. Do you agree or disagree with April?

Answers

Answer:

Disagree

Step-by-step explanation:

The lines are parallel, which means they have different y-intercepts but the same slope.

April's two equations have different slopes (5 and 14), so they do not properly represent two parallel lines.

9 2/3 - 4 1/5. ====???

Answers

Answer:

Step-by-step explanation:

5.46666666667

Answer:

5 7/15

Step-by-step explanation:

9 2/3-4 1/5 = 9 10/15-4 3/15=5 7/15

Curved surface area of a cone is 308 cm and its slant height is 14 cm Find.
radius of the base (m) Total surface area of the cone.

Answers

Step-by-step explanation:

tsa= total surface area

csa=curved surface area

answer is in the picture

Two hundred fifteen people have been invited to a reception. The men get a gift of candy that cost $ 6.95 each, and the women get a gift of flowers that cost $ 8.95 each. If the total cost for gifts was $ 1724.25, how many men and how many women were invited?

Answers

The answer is $2000 your welcome

The total cost of flooring a room at Rs .9.50 per square meter is Rs 760, If the length of the room is 10 m, find its breadth.

Answers

Answer:

8 metre

Step-by-step explanation:

cost of flooring per square metre = Rs .9.50

total cost of flooring= Rs760

Area of room= 760/9.50

= 80 m^2

Area of the given room= Lenght × Breadth

length of the room is = 10 m

80= 10 × Breadth

Breadth= 80/10= 8 m

Hence, breadth of the room is 8metre

True or False Exponential Growth occurs when the same number is added to
the consecutive output values.

Answers

Answer:

False

Step-by-step explanation:

Because you're not supposed to add to the output values, you need to multiply the output values.

I have to agree with mrshredhalen

it’s false

True or False: An decrease in a particle's thermal energy will decrease its speed. *

Answers

Answer:

true

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

3a + b = 225
b = a - 15

A.) 3a + b = a -15
B.) 3a + a = 225
C.) 3a + a - 15 = 225
D.) b = 3a + b

Answers

Answer:

c

Step-by-step explanation:

Northern Bank has two types of account. Both accounts pay compound interest. Cash savings account Interest 2.5% per annum Shares account Interest 3.5% per annum Ali invests £2000 in the cash savings account. Ben invests £1600 in the shares account. (a) Work out who will get the most interest by the end of 3 years. You must show all your working.

Answers

Answer: Ben will have the most interest.

Step-by-step explanation:

Ali after 3 years.

To use compound interest, the formula is:

= Investment * ( 1 + rate) ^ no. of periods

= 2,000 * ( 1 + 2.5%)³

= £‭2,153.78

Interest = Amount after 3 years - investment

= 2,153.78 - 2,000

= £153.78

Ben after 3 years.

= 1,600 * (1 + 3.5%)³

= £1,773.95

Interest = 1,773.93 - 1,600

= £173.93

In a survey conducted on 200 people, it was found that 105 of them prefer coffee, 50 prefer
tea and the remaining prefer both. Find the fraction of people who prefer both tea and coffee.

Answers

Given:

Total number of people = 200

People who prefer coffee = 105

People who prefer tea = 50

The remaining prefer both.

To find:

The fraction of people who prefer both tea and coffee.

Solution:

The number of remaining people who prefer both tea and coffee is

Remaining people = Total number of people - People who prefer coffee - People who prefer tea

Remaining people = 200 - 105 - 50

                               = 45

Now, the fraction of people who prefer both tea and coffee is

[tex]\text{Required fraction}=\dfrac{\text{Remaining people}}{\text{Total number of people}}[/tex]

[tex]\text{Required fraction}=\dfrac{45}{200}[/tex]

[tex]\text{Required fraction}=\dfrac{9}{40}[/tex]

Therefore, [tex]\dfrac{9}{40}[/tex] of people prefer both tea and coffee.

express 4x-1= 3 as a linear equation in two variables​

Answers

Hello there!

~I hope you and your family are staying safe and healthy!

[tex]4x - 1 = 3[/tex]

We need to start by saying that y = 3

[tex]4x - 1 = y[/tex] or [tex]4x - y = 1[/tex]

Thus, the equation above is in the two variable form where y = 3

Thus, the required equation is [tex]4x - y = 1[/tex]

Let me know if you have additional questions!

~Garebear

Seven subtracted from a number is -18

Answers

Answer:

-11

Step-by-step explanation:

Just add 7 to -18

-18 + 7 = -11

Hope this helped :)

(If you want to check, just do -11 - 7)

HELP ME PLEASE!!!!ITS DUE TODAY!!

Answers

80*0.25 =20
80-20=60
60 peaches

Answer:

Step-by-step explanation:

Someone please let me know the answer ​

Answers

Answer:

The answer is 30°

Step-by-step explanation:

[tex]when \: \: \sqrt{3} \sin( \alpha ) - \cos( \alpha ) = 0 \\ \sqrt{3} \sin( \alpha ) = \cos( \alpha ) \\ multiply \: by \: \frac{1}{ \sqrt{3} \cos( \alpha ) } \\ then \\ \frac{ \sin( \alpha ) }{ \cos( \alpha ) } = \frac{1}{ \sqrt{3} } \\ \tan( \alpha ) = \frac{1}{ \sqrt{3} } \\ then \: \alpha = 30[/tex]

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