Question
Present age of P is 25% more than that of Q. Present age
of R, who is 8 years older than Q, is 28 years. After how many years from now, ratio of ages of P to Q will become 7:6?Solution
ATQ, Present age of Q = 28 - 8 = 20 years
Present age of P = 1.25 × 20 = 25 years
Let the required time be T years.
So, (25 + T) : (20 + T) = 7 : 6
Or, 6 × (25 + T) = 7 × (20 + T)
Or, 150 + 6T = 140 + 7T
Or, T = 10
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