# Renu’s mother was three times as old as Renu 5 years After 5 years, she will be twice as old as Renu. Renu’s present age in years is-

**Answer: (4) 15 **

**Explanation:- **

Let age of Renu’s be X years and mother’s age be Y years.

Renu’s mother was three times as old as Renu 5.

Then, 3 (X – 5) = (Y – 5)

3 X – 15 = Y – 5

3 X – Y = 15 – 5

3 X – Y = 10 …………………………. (1)

After 5 years, she will be twice as old as Renu,

Then, 2 (X + 5) = (Y + 5)

2 X + 10 = Y + 5

2 X – Y = 5 – 10

2 X – Y = – 5 ………………… (2)

Equation (2) subtracted from equation (1),

3 X – 2 X – Y + Y = 10 + 5

X = 15

Then, present age of Renu is 15 years.

Hence, the correct answer is option (4) 15 years.