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Question

36 years from now the age of a man will be square of what he was 36 years ago. find his present age

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Solution

Let the present age of man = x yrsAge of man 36 years ago = x - 36 yrsAge of man after 36 years = x + 36 yrsNow, according to question :x + 36 = x - 362x + 36 = x2 + 1296 - 72xx2 - 73x + 1260 = 0x2 - 45x - 28x + 1260 = 0xx - 45 - 28x - 45 = 0x - 45x - 28 = 0x - 45 = 0 or x - 28 = 0x = 45 or x = 28 rejectedSo, present age of man = 45 yrs

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