(Q) Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find the Rohan’s present age. 

Ans:  Let’s Rohan’s age be km /h

Hence, his mother’s age is

3 years later, Rohan’s age will be: and his mother’s age will be

By given condition, product of their ages after 3 years is 360

Here, we reject x = – 39 because the value of age can not be a negative number.

Hence, Rohan’s age is 7 yrs.

Check:

If Rohan’s age is 7 yrs, his mother’s age is 33 yrs.

After 3 yrs, their  ages will 10 yrs and 36 yrs.

Product of their ages = 10 × 36 = 360

 Since it meets the given condition, hence our answer is correct. 

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