Q4 of 168 Page 7

Represent the following situations in the form of the quadratic equation.

One year ago, a man was eight times as old as his son. Now, his age is equal to the square of his son's age.

Let ‘y’ and ‘x’ be the present age of the man and son.

∵ One year ago the man was eight times as old as his son.


∴ y – 1 = 8 (x − 1)


∵ Now, his age is equal to the square of his son's age.


∴ y = x2


∴ x2 − 1 = 8 (x − 1)


⇒ x2 − 8x + 7 = 0


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