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 . How old is the mother at present ?
Created: 8 months ago | Updated: 1 month ago
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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 . How old is the mother at present ?


Let, present age of mother = x
present age of the person or son = 2x/5​

After 8 year,  
mother's age = x+8
son's age = 2x/5 ​+ 8

As per question,
2x/5 ​+ 8 = ​(x+8)/2
or, (x+8)/2 - 2x/5 = 8
or, x=40 

So, present age of mother = 40 years (Ans:)

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