The sum of the present ages of a father and son is 52 years. Four years hence, the son's age will be $$\frac{1}{4}$$ 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

D. 3 : 8

Answer: Option C

Solution(By Examveda Team)

\[\begin{array}{*{20}{c}} {{\text{After four years}} \to }&{{\text{Father}}}&:&{{\text{Son}}} \\ {}&4&:&1 \end{array}\]
Four years ago → 4x - 4, x - 4
4x - 4 + x - 4 = 52
5x - 8 = 52
x = 12
\[\begin{array}{*{20}{c}} {{\text{Present age}} \to }&{{\text{Father}}}&:&{{\text{Son}}} \\ {}&{44}&:&8 \\ {{\text{After 10 years}} \to }&{{\text{Father}}}&:&{{\text{Son}}} \\ {}&{54}&:&{18} \\ {}&3&:&1 \end{array}\]