Question

The ages of Rohan and Sohan are in the ratio 5:7. Four years later the sum of the ages will be 56. What are their present ages?

Answer 1

Answer:

rohan'age=20

sohan's age=28

Step-by-step explanation:

let x be their age.

we will take 5x and 7x.

as after 4 years their age is 56 that means 4 years of rohan and 4 of sohan

so,

56-8=48

then,5x+7x=48

12x=48

x=48/12

x=4

as we have taken rohans age as 5x so 5*4=20

and sohan as 7x so 7*4=28

Answer 2

Answer:

Mohan is 15 years old and Sohan is 21 years old.

Step-by-step explanation:

Ratio = 5 : 7

Define x:

Let x be the constant ratio

Ratio = 5x : 7x

Solve x:

(5x + 9) / (7x - 9) = 2/1

5x + 9 = 2(7x - 9)

5x + 9 = 14x - 18

9x = 27

x = 3

Find their present age:

Mohan = 5x = 5(3) = 15 years old

Sohan = 7x = 7(3) = 21 years old

Answer: Mohan is 15 years old and Sohan is 21 years old.

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