1.

A man’s age after 15 years will be the square of his age 15 years ago. Find the present age by forming a second degree equation

Answer»

Let x be the present age .

x + 15 = (x – 15)2

x + 15 = x2 – 30x + 225

x2 – 31x + 210 = 0

\(x=\frac{-31\pm \sqrt{961-840}}{2}=\frac{31\,\pm\,11}{2}=21,10\)

Present age = 21



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