a) 5 : 2
b) 2 : 1
c) 11 : 7
d) 13 : 9
Answer: b
Explanation: Let the man’s age be 7x years
Then son’s age = 3x years
$$\eqalign{
& {\text{7}}x \times 3x = 756 \cr
& 21{x^2} = 756 \cr
& {x^2} = 756 \cr
& {x^2} = 36 \cr
& x = 6 \cr} $$
The ratio of their ages after 6 years
$$\eqalign{
& {\text{ = }}\left( {7x + 6} \right):\left( {3x + 6} \right) \cr
& = \left( {7 \times 6 + 6} \right):\left( {3 \times 6 + 6} \right) \cr
& = 48:24 \cr
& = 2:1 \cr} $$
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