Age Problems - Concepts and Tricks for PA Exam 2014

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. 

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