The present age of A is twice that of B. After 30 years from now the age of A will be $1_{1/2}$ times that of B. Find the present ages of A and B respectively.

A

$60,30$

B

$30,60$

C

$40,50$

D

$50,40$

Medium

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Solution

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Correct option is A)

Present age : A = 2x, B = x After 30 years : A = 2X + 30, B = X + 30 so,$2x+30=1_{1/2}(x+30)$ 4x + 60 = 3x + 90 x = 30 $∴$ Present age of B = 30 years Present age of A = 2 x 30 = 60 years