Quadratic Equation Solution13





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