Question
Ratio of the present ages of Jack and Kevin is 7:m
respectively. Five years hence from now, the sum of the ages of Jack and Kevin will be 55 years. Six years ago from now, the age of Liam, who is six years elder to Kevin, was 24 years. Find the value of (m + 5)(m + 6).Solution
ATQ,
6 years ago, Liam = 24 → Now = 30 Kevin = 30 − 6 = 24 5 years later: Kevin = 29 Let Jack’s current age = J → J + 5 + 29 = 55 → J = 21 Jack : Kevin = 21 : 24 = 7 : 8 → m = 8 (m + 5)(m + 6) = (8 + 5)(8 + 6) = 13 × 14 = 182
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