## Application of this rule

### Example 1

Raman’s age after 15 years will be 5 times his age 5 years back. What is his present age ?

Solution – Let’s assume right now it is year 2000

Age of Raman in 1995 = x

Age of Raman in 2015 = 5x

Present age of Raman (in 2000) = x+5 or 5x-15

we will solve these two equation to find x.

X= 5. Then Raman’s present age becomes = x +5 = 10

### Example 2

Rahul was 4 times old as his son 8 years back and he will be 2 times old as his son after 8 years. Calculate Rahul and his son’s age.

Assume that currently it is year 2000.

In 1992 Rahul’s age = 4x, Age of Rahul’s son = x

In 2008 Rahul’s age = 2y and Age of Rahul’s son = y

Now we get two equations 2y – 4x = 16 and y – x = 16

By solving this equation x = 8, so Rahul’ son’s current age = 16 years and Rahul’s age = 40 years.