Question
The present ages of 'P', 'Q' and 'R' are in the ratio
2:5:7. The age difference between 'P' and 'R' is 20 years. After 'm' years, age of 'Q' will be 50% more than that of 'P'. Find the value of 'm'.Solution
ATQ,
Let the present ages of P, Q and R be 2x, 5x and 7x years respectively.
ATQ,
7x - 2x = 20
So, x = 4
Present age of P = 2x = 2 × 4 = 8 years
Present age of Q = 5x = 5 × 4 = 20 years
ATQ,
(8 + m) × 1.5 = (20 + m)
12 + 1.5m = 20 + m
So, 1.5m - m = 8
=> 0.5m = 8
=> m = 16
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