vinni.k wrote:Four years ago, the Father's age was three times the age of his son. The total of the ages of the father and the son after four years, will be 64 years. What is the father's age at present?
(A). 32
(B). 36
(C). 44
(D). 12
(E). Data inadequate.
Answer is B
The answer choices seem to represent the father's age FOUR YEARS AGO.
Since four years ago the father was 3 times as old as his son was then, the father's age four years ago must be a multiple of 3.
Eliminate A and C.
Since four years from now the sum of the father's age and the son's age must be 64, answer choice D (12) is too small.
Eliminate D.
Thus, the father age four years ago must be 36, implying the following:
Since four years ago the father was 3 times as old as his son was then, the son's age four years ago = 36/3 = 12.
Father's current age = 36+4 = 40.
Son's current age = 12+4 = 16.
Father's age four years from now = 40+4 = 44.
Son's age four years from now = 16+4 = 20.
Sum of the ages four years from now = 44+20 = 64.
Success!
Thus, the father's current age = 40, and his age four years ago = 36.
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