Q49
The sum of the present ages of a father and son is 52 years. Four years hence, the son's age will be 1/4 that of the father. What will be the ratio of the ages of the son and father, 10 years from now?
The sum of the present ages of a father and son is 52 years. Four years hence, the son's age will be that of the father. What will be the ratio of the ages of the son and father, 10 years from now?
A.
2 : 7
B.
2 : 5
C.
1 : 3
AnswerD.
3 : 8
Answer: Option C
Solution
Answer: Option C
Solution:
\begin{array}{*{20}{c}}
{{\text{After four years}} \to }&{{\text{Father}}}&:&{{\text{Son}}} \\
{}&4&:&1
\end{array}Four years ago → 4x - 4, x - 4
4x - 4 + x - 4 = 52
5x - 8 = 52
x = 12
\begin{array}{*{20}{c}} {{\text{Present age}} \to }&{{\text{Father}}}&:&{{\text{Son}}} \\ {}&{44}&:&8 \\ {{\text{After 10 years}} \to }&{{\text{Father}}}&:&{{\text{Son}}} \\ {}&{54}&:&{18} \\ {}&3&:&1 \end{array}