The ratio of a man's age and his son's age is 7 : 3 and 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
E. None of these
Answer: Option B
Solution(By Examveda Team)
Let the man's age be 7x years ,Then son's age = 3x years
$$\eqalign{ & \therefore {\text{7}}x \times 3x = 756 \cr & \Rightarrow 21{x^2} = 756 \cr & \Rightarrow {x^2} = 756 \cr & \Rightarrow {x^2} = 36 \cr & \Rightarrow x = 6 \cr} $$
The ratio of their ages after 6 years
$$\eqalign{ & {\text{ = }}\left( {7x + 6} \right):\left( {3x + 6} \right) \cr & = \left( {7 \times 6 + 6} \right):\left( {3 \times 6 + 6} \right) \cr & = 48:24 \cr & = 2:1 \cr} $$
Related Questions on Problems on Ages
A. 2 times
B. $$2\frac{1}{2}\,{\text{times}}$$
C. $$2\frac{3}{4}\,{\text{times}}$$
D. 3 times
A. 4 years
B. 8 years
C. 10 years
D. None of these
A. 14 years
B. 19 years
C. 33 years
D. 38 years
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