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Shortcuts for Age based problems

Age based problems are often asked in almost all competitive exams such as IBPS PO, IBPS Clerk, MAT, CAT, XAT, CMAT and GMAT. In this post, you will learn how to solve the Age based problems in the matter of seconds.



Have a look at the following questions
Ex.1 The ages of the father three years ago was 7 times the age of his son. At present the father's age is five times that of his son? what are the present ages of the father and the son?
Solution by conventional method

Let the present age of son = x yrs.
then, the present age of father = 5x yrs.
3 years ago,
7(x-3) = 5x-3
or, 7x-21=5x-3
or, 2x=18  
x = 9 yrs.
So, the son's age is 9 yrs.
Father's age = 45 yrs
Shortcut Method:

Son's age =t(x-1) / x-y
In the above example
t= 3 yrs.
X = 7
Y = 5
Putting the values in the above equation
Son’s age = 3 (7-1) / 7-5
= 18/2
=9
And father’s age = 45 yrs.




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