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-

  1. 35
  2. 10
  3. 20
  4. 15
Anurag Mishra Professor Asked on 22nd January 2016 in Maths.
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1 Answer(s)

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. 

Anurag Mishra Professor Answered on 22nd January 2016.
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