2) Sum of the ages of father and son is 68. After 8 years
father will be thrice as old as son. The present age
(in years) of the son is
A) 18
B) 16
C) 15
D) 13
Answers
Question :- Sum of the ages of father and son is 68. After 8 years father will be thrice as old as son. The present age
(in years) of the son is :-
A) 18
B) 16
C) 15
D) 13
Answer :-
Let us assume that, Present age of son is x years.
so,
→ Father's age = (68 - x) years.
now,
→ After 8 years son will be = (x + 8) years old.
→ After 8 years father will be = (68 - x) + 8 = (76 - x) years old.
A/q,
→ Father = 3 * son
→ (76 - x) = 3(x + 8)
→ 76 - x = 3x + 24
→ 76 - 24 = 3x + x
→ 4x = 52
→ x = 13 years. (D) (Ans.)
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Given : Sum of the ages of father and son is 68.
After 8 years father will be thrice as old as son.
To Find: The present age (in years) of the son is
A) 18
B) 16
C) 15
D) 13
Solution:
Sum of the ages of father and son is 68.
Son age = S years
Father age = 68 - S years
After 8 years Son = S + 8
After 8 years father = 68 - S + 8 = 76 - S
After 8 years father will be thrice as old as son.
=> 76 - S = 3(S + 8)
=> 76 - S = 3S + 24
=> 4S = 52
=> S = 13
present age (in years) of the son is 13 Years
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