In this page quadratic equation practical solution7 we are going to see solution of practice question of the worksheet quadratic equation practical application.

**Question 7:**

One year ago a man was 8 times as old as his son. Now his age is equal to the square of his son’s age. Find their present age.

**Solution:**

Let “x” be the present age of son

Let “y” be the age of father

So (x -1) be the age of son one year age

(y-1) be the age of father one year ago.

By using the given information

y = x²

y – 1 = 8 (x -1)

y = 8 x – 8 + 1

y = 8 x – 7

x² = 8 x – 7

x²- 8 x + 7 = 0

x²- 1 x – 7 x + 7 = 0

x (x - 1) – 7(x – 1) = 0

(x -1) (x – 7) = 0

X – 1 = 0 x – 7 = 0

X = 1 x = 7

Therefore age of father is 49.

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- Back to worksheet
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Quote on Mathematics

“Mathematics, without this we can do nothing in our life. Each and everything around us is math.

Math is not only solving problems and finding solutions and it is also doing many things in our day to day life. They are:

It subtracts sadness and adds happiness in our life.

It divides sorrow and multiplies forgiveness and love.

Some people would not be able accept that the subject Math is easy to understand. That is because; they are unable to realize how the life is complicated. The problems in the subject Math are easier to solve than the problems in our real life. When we people are able to solve all the problems in the complicated life, why can we not solve the simple math problems?

Many people think that the subject math is always complicated and it exists to make things from simple to complicate. But the real existence of the subject math is to make things from complicate to simple.”