Question
Six years from now, P’s age
will be 50% greater than his age two years ago. The current age ratio of P to Q is 6:7. How many years from now will Q celebrate his 30th birthday?Solution
ATQ, Let the present age of P = ‘y’ years Then, ATQ (y + 6) = 1.5 × (y – 2) Or, y + 6 = 1.5y – 3 Or, 0.5y = 9 So, y = 9 ÷ 0.5 = 18 So, present age of Q = 18 × (7/6) = 21 years So, Q will celebrate his 30th birthday 9 years later i.e. (30 – 21) = 9 years
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