Question
Four years back, the ratio of Rohan and Neha’s ages
was 9:10. Twelve years from now, their ages will be in the ratio 11:12. What is Neha’s current age?Solution
ATQ,
Let Rohan and Neha’s ages 4 years ago be '9x' and '10x' respectively.
Rohan’s age after 12 years = 9x + 4 + 12 = (9x + 16) years
Neha’s age after 12 years = 10x + 4 + 12 = (10x + 16) years
ATQ,
(9x + 16)/(10x + 16) = 11/12
⇒ 12(9x + 16) = 11(10x + 16)
⇒ 108x + 192 = 110x + 176
⇒ 16 = 2x
⇒ x = 8
So, present age of Neha = 10 × 8 + 4 = 84 years
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