The ages of Sonal and Manoj are in the ratio 7:5. Ten years hence, the ratio of their ages

Question: The ages of Sonal and Manoj are in the ratio 7:5. Ten years hence, the ratio of their ages?

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
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