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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