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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 [This Question was asked as TITA]

A

20

B

17

C

16

D

18

Answer

18

Explanation

Solution

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