Question

Sara is twice the age of Marry. The sum total of Sara’s age and Marry’s age after five years is 52. What is Marry’s present age?

(a) 14 years

(b) 19 years

(c) 28 years

(d) 33 years

The question was posed to me during an internship interview.

This is a very interesting question from Age/Money/Denomination of Currency Word Problems topic in division Linear Equations in One Variable of Mathematics – Class 8

Answer 1

The correct option is (c) 28 years

For explanation I would say: Let Sara’s age be x years. ∴ Marry’s age is 2x years.

Now after five years Sara’s age  = (x+5)  years and Marry’s age = (2x+5)  years

We know that, (x+5)+(2x+5)=52

∴ x+5+2x+5=52

∴ 3x+10=52

∴ 3x=42

∴ x=14 years

∴ Sara’s present age is 14 years. As we know that, Marry’s age is twice that of Sara’s age

∴ Marry’s age 28 years.