A father is now three times as old as his son. Five years back, he was four times as old as his son. The age of the son (in years) is _______?
- 18
- 12
- 15
- None of these
Explanation
Let's denote the current age of the son as S and the current age of the father as F.
Given that the father is now three times as old as his son:
F = 3S
Five years back, the father's age was F - 5, and the son's age was S - 5. According to the problem, five years back, the father was four times as old as his son:
F - 5 = 4(S - 5)
Substituting F = 3S into the equation:
3S - 5 = 4(S - 5)
3S - 5 = 4S - 20
3S - 4S = -20 + 5
-S = -15
S = 15
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