Question
Seven years ago, the age ratio of 'F' and 'G' was 2:3. In
five years, their ages will be in the ratio 3:4. What is the current age of 'V' who is 2 years younger than 'G'?Solution
ATQ,
Let the age of 'F' and 'G', seven years ago be '2a' and '3a' years, respectively.
So, (2a + 7 + 5) : (3a + 7 + 5) = 3 : 4
Or, 4 × (2a + 12) = 3 × (3a + 12)
Or, 8a + 48 = 9a + 36
Or, a = 12
Required age = 3 × 12 + 7 - 2 = 41 years
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