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:

  1. 5 Years
  2. 10 Years
  3. 20 Years
  4. 30 Years
Anurag Mishra Professor Asked on 17th March 2016 in Maths.
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1 Answer(s)

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.

Anurag Mishra Professor Answered on 18th March 2016.
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