Ten years ago, the age of Ali was one third the age of Hyder at that time. The present age of Hyder is 12 years more than the present age of Ali. Find the present age of Ali?
- 18
- 14
- 16
- None of these
Explanation
Let Ali's present age be x.
Hyder's present age = x + 12
Ten years ago:
Ali's age = x - 10
Hyder's age = x + 12 - 10 = x + 2
Given that Ali's age was 1/3 of Hyder's age:
x - 10 = 1/3(x + 2)
3(x - 10) = x + 2
3x - 30 = x + 2
2x = 32
x = 16
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