In this page quadratic equation solution13 we are going to see solution of the word problems of the topic quadratic equation.

**Question 20**

The product of the man’s age 5 years ago and 5 years later is 600. Find his present age.

**Solution:**

Let “x” be the present age of man

Age of man 5 years ago = (x – 5)

Age of man 5 years after = (x + 5)

The product of the man’s age 5 years ago and 5 years later is 600

(x – 5) (x + 5) = 600

x² – 5² = 600

x² – 25 = 600

x² = 600 + 25

x² = 625

x = √625

x = √25 **x** 25

x = 25

Therefore the present age of the man is 25 years

Verification:

The product of the man’s age 5 years ago and 5 years later is 600

(25 – 5) (25 + 5) = 600

(20) (30) = 600

600 = 600

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