Question

the ages of sonal and manoj are in the ratios7:5 . ten years hence the ratio of their ages will be 9:7 . find thier present age

Answer 1

Solution-

Ratio of the present ages of Sonal and Manoj are 7:5

Let us assume, present age of Sonal is 7x years and present age of Manoj is 5x years, where x is the multiplier

10 years hence,

Sonal's age is 7x + 10 and Manoj's age is 5x + 10

Therefore, ratio of their age = 7x+10 : 5x+10

Given:

7x+10 : 5x+10 = 9:7

(7x+10) / (5x+10) = 9/7

7(7x+10) = 9 (5x+10)

49x + 70 = 45x + 90

4x = 20

x = 5

Therefore, present age of Sonal = 7x = 7 * 5 = 35 years 
and present age of Manoj = 5x = 5 * 5 = 25 years

Answer 2

present age = 7:5
after ten years = 9:7