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Previous Year Question (PYQs)



A person's present age is two-fifth of the age of his mother. After 8 years, he will be one half of the age of his mother. What is the present age of the mother?





Solution

Let present age of mother is x,
then present age of his som = $\frac{2x}{5}$
After 8 year son's age$\frac{2x}{5}+8$ 
mother's age =$x+8$  
And given that son's age is $\frac{1}{2}$ time of mother's 
$\frac{2x}{5}+8=\frac{1}{2}(x+8)$
Hence ,present age of mother is 40


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