1.

Find the present age of a man if his age 40 years hence will become equal to the square of whathis age was 32 years ago.

Answer»

Let present age of man be x

Then,As per given condition(x + 40) = (x - 32)^2x + 40 = x^2 + 1024 - 64xx^2 - 65x + 984 = 0x^2 - 41x - 24x + 984 = 0x(x - 41) - 24(x - 41) = 0(x - 24)(x - 41) = 0x = 24, 41

Therefore,Present age of man is 41 years



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