Question
Ratio of P's age, 5 years hence and Q's age, 3 years ago
was 15:17 respectively. 7 years ago, if the average age of 'P' and 'Q' was 40 years, then find the ratio of P's age, 3 years ago and R's age, 3 years hence from now, given that R is 5 years elder to Q.Solution
ATQ,
Let the age of 'P', 5 years hence and 'Q', 3 years ago be '15x' years and '17x' years respectively. Present age of 'P' = 15x - 5 years Present age of 'Q' = 17x + 3 years According to question: 15x - 5 + 17x + 3 = 40 × 2 + 7 + 7 Or, 32x - 2 = 80 + 14 = 94 Or, 32x = 96 Or, x = 3 Present age of 'P' = 15x - 5 = 15 × 3 - 5 = 40 years Present age of 'Q' = 17x + 3 = 17 × 3 + 3 = 54 years Present age of 'R' = 54 + 5 = 59 years Required ratio = (40 - 3):(59 + 3) = 37:62 = 37:62
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