Problems based on Age for IBPS, SBI, RBI, UPSC, State-psc Railways,SSC Clerk. PO

[Q] 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?
(a) 50
(b) 60
(c) 30
(d) 40

Solution

Answer    (d)
Explanation
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Let the present age of the person = x
Then present age of the mother = 5x2

Given that, after 8 years, the person will be one-half of the age of his mother.
=> (x + 8) = 12(5x2+8)
=> 2x + 16 = 5x2+8
=> x2 = 8
=> x = 16

Present age of the mother = 5x2=5×162=40