Discussion of Question with ID = 006 under Problems-on-Ages

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The ages of three friends are in the ratio 2:23:3. What is the age of the youngest friend if the sum of their ages 3 years back was 159 years?


12 years.


13 years.


11 years.


14 years.

Ans: a

Let the ages of three friends be 2r, 23r and 3r. The youngest of these is 2r. We have been given their sum 3 years back. So (2 + 23 + 3)r - (3 × 3) = 159. Solving, we get r = 6. The youngest is 2 × 6 = 12 years.

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