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Question

Rohan's mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. What is Rohan's present age?


A

39

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B

7

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C

14

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D

10

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Solution

The correct option is C

7


Let's take Rohan's age = x years

Hence, his mother's age = x+26

3 years from now;

Rohan's age = x+3

Age of Rohan's mother will =x+26+3=x+29

The product of their ages 3 years from now will be 360.

(x+3)(x+29)=360

x2+29x+3x+87=360

x2+32x+87360=0

x2+32x273=0

x2+2×x×16+256=273+256

(x+16)2=529

x+16=±23

x=39 or x=7

As age cannot be in negative value,

Rohan's age = 7 years

Mother's age = 7+26=33 years


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