Question 33

John's present age is one fourth of his father's age two years ago. John’s father’s age will be twice Raman's age after 10 years. If Raman's 12th birthday was celebrated 2 years ago, then what is John's present age?

Solution

Let, John's present age be "x" years.

So, age of father two years ago = 4x

So, current age of father = (4x+2) years

It is given, Raman's 12th birthday was celebrated 2 years ago, so Raman's current age = 12+2 = 14 years

So, Raman's age after 10 years = 14+10 = 24 years

So, John's father's age after 10 years = 2*24 = 48 years

So, present age of John's father = (48-10) years = 38 years

So, 4x+2=38

or, 4x=36

or, x=9

So, John's present age is 9 years.

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