A person's present age is two-fifth of the age of his mother. After 8 years, ...

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Question Id : 11197 | Context :NIMCET 2022

Question

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?

🎥 Video solution / Text Solution of this question is given below:

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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