Question
Five years ago, the ratio of age of ‘A’ to ‘B’ was
4:5. Seven years from now, their age ratio will be 6:7. Find the present age of ‘Z’, who is 3 years older than ‘A’.Solution
ATQ,
Let the age of ‘A’ and ‘B’, five years ago be ‘4a’ and ‘5a’ years, respectively.
So, (4a + 5 + 7):(5a + 5 + 7) = 6:7
Or, 7 × (4a + 12) = 6 × (5a + 12)
Or, 28a + 84 = 30a + 72
Or, 2a = 12
So, ‘a’ = 6
Required age = 4 × 6 + 5 + 3 = 32 years
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