1)

The ratio of the father's age to his son's age is 7 : 3. The product of their ages is 756. The ratio of their ages after 6 years will be :


A) 5 : 2

B) 2:1

C) 11:7

D) 13:9

Answer:

Option B

Explanation:

let the present ages of the father and son be 7x and 3x years respectively
then $7x\times3x\times=756$
$=>21x^{2}=756$
$=>x^{2}=36$
$=>x=6$

Required ratio = $(7x+6):(3x+6) = 48:24 =2:1$