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1. A man was asked to state his age in years. His reply was, "Take my age 3 years hence, multiply it by 3 and then subtract 3 times my age 3 years ago and you will know how old I am". What is the age of the man ?

A. 18 years

B. 20 years

C. 24 years

D. 32 years

Solution:

Let the present age of the man be x years
Then,

\begin{aligned} \Rightarrow 3 (x + 3) - 3 (x - 3) = x \\ \Rightarrow (3 x + 9) - (3 x - 9) = x \\ \Rightarrow x = 18 \end{aligned}

∴ The present age of the man is 18 years

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