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Question

Quantitative Aptitude Question on Problems on ages

Dick is thrice as old as Tom and Harry is twice as old as Dick. If Dick's age is 1 year less than the average age of all three, then Harry's age, in years, is

Answer

Let the age of Tom be tt.
Ages of Dick and Harry are 3t3t and 6t6t respectively.
Given, 3t=t+3t+6t319t10t3t=33t = \frac{t+3t+6t}{3}-1 ⇒ 9t \Rightarrow10t-3 ⇒ t=3
Age of Harry =6×3=186×3 = 18