Multiple choice

The ages of two persons differ by 20 years. If 5 years ago, the older one be 5 times as old as the younger one, then their present ages are ?

  1. 50,30

  2. 35,15

  3. 25,5

  4. 30,10

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let ages be x and x+20. 5 years ago: (x+20-5) = 5(x-5). x+15 = 5x - 25. 4x = 40, x = 10. Ages are 10 and 30.

AI explanation

Let the present age of the older person be O and the younger person be Y. We are given O - Y = 20. Five years ago, the equation is O - 5 = 5(Y - 5); expanding this gives O - 5 = 5Y - 25, which simplifies to O = 5Y - 20. Substituting the first equation gives Y + 20 = 5Y - 20, so 4Y = 40 and Y = 10. The older person is 10 plus 20, making their present ages 30 and 10.

Keep practicing — related questions