Multiple choice

The difference between the ages of two men is 10 years. 15 years ago, the elder one was twice as old as the younger one. The present age of the elder man is ?

  1. 32 years

  2. 35 years

  3. 45 years

  4. 25 years

  5. None
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let elder age be E, younger be Y. E - Y = 10. 15 years ago: (E-15) = 2(Y-15). E - 15 = 2Y - 30. E - 2Y = -15. Substitute Y = E - 10: E - 2(E-10) = -15. E - 2E + 20 = -15. -E = -35, so E = 35.

AI explanation

Let the present age of the elder man be x years, so the younger man is x minus 10 years. Fifteen years ago, the equation is x minus 15 equals 2 times (x minus 25), which simplifies to x minus 15 equals 2x minus 50, giving x equals 35 years.

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