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The present age of son is half of the present age of his mother. Ten years ago, his mother's age was thrice the age of her son. What is the present age of the son ?

The present age of son is half of the present age of his mother. Ten years ago, his mother's age was thrice the age of her son. What is the present age of the son ? Correct Answer 20 years

Let mother's age be 2x years,
Then, son's age = x years
$$\eqalign{ & \therefore \left( {2x - 10} \right) = 3\left( {x - 10} \right) \cr & \Rightarrow 2x - 10 = 3x - 30 \cr & \Rightarrow x = 20 \cr} $$
Son's age = 20 years

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