# What is present age of chandravati?

10 years ago, chandravati’s mother was 4 times older than her daughter. After 10 years, mother will be twice older than the daughter. The present age of Chandravati is:

- 5 Years
- 10 Years
- 20 Years
- 30 Years

**Answer: (3) 20 years**

**Solution:-**

Let the present age of Chandravati and her mother be X and Y.

10 years ago, Chabdravati’s mother 4 times older than her daughter.

Then, 4 (X – 10) = Y – 10

4 X – 40 = Y – 10

4 X – Y = 40 – 10

4 X – Y = 30 ………………………. (1)

After 10 years, mother will be twice older than the daughter.

Then, 2 (X + 10) = Y + 10

2 X + 20 = Y + 10

2 X – Y = – 10 ………………….. (2)

Equation (2) is subtract from equation (1),

4 X – Y – 2 X + Y = 30 + 10

2 X = 40

X = 40/2

X = 20

Then, the present age of Chandrawati is 20 years.

Hence, the correct answer is option (3) 20 years.