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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 ?
Answer & Solution
Correct Answer:
Option
A
Let the present age of the man be x years
Then,
$$\eqalign{ & \Rightarrow {\text{3}}\left( {x + 3} \right) - 3\left( {x - 3} \right) = x \cr & \Rightarrow \left( {3x + 9} \right) - \left( {3x - 9} \right) = x \cr & \Rightarrow x = 18 \cr} $$
∴ The present age of the man is 18 years
Then,
$$\eqalign{ & \Rightarrow {\text{3}}\left( {x + 3} \right) - 3\left( {x - 3} \right) = x \cr & \Rightarrow \left( {3x + 9} \right) - \left( {3x - 9} \right) = x \cr & \Rightarrow x = 18 \cr} $$
∴ The present age of the man is 18 years
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