Q20 of 37 Page 35

The ages of Sonal and Manoj are in the ratio of 7:5. Ten years since the ratio of their ages will be 7:5. Find their present age.

Given, the ratio of the present ages of Sonal and Manoj = 7 : 5

Let the age of Sonal be `7x` yrs


And the age of Manoj be `5x` yrs


Ten years later their ages will be (7x + 10) and (5x + 10)


Given the ratio of the ages after 10 years = 9:7


Assume the ages as 9x and 7x


∴ 7x + 10 + 5x + 10 = 9x + 7x


⇒ 12x – 16x = – 20


⇒ – 4x = – 20



∴ x = 5


Therefore the present age of Sonal = 7x = 7 × 5 = 35 years


And the present age of Manoj = 5x = 5 × 5 = 25 years


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