Multiple choice

The present age of Harish is 8 times the sum of the ages of his two sons at present. After 8 years, his age will be 2 times the sum of the ages of his two sons. The present age of Harish (in years) is:

  1. 31

  2. 32

  3. 33

  4. 34
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let H be Harish's age and S be the sum of his sons' ages. H = 8S. After 8 years, H+8 = 2(S+16). Substituting H=8S: 8S+8 = 2S+32, so 6S = 24, S=4. Harish's age H = 8 * 4 = 32.

AI explanation

Let the sum of the present ages of Harish's two sons be x, making Harish's present age 8x. After 8 years, Harish's age will be 8x + 8, and the sum of his sons' ages will be x + 16. The problem states that 8x + 8 equals 2 times x + 16, yielding the equation 8x + 8 = 2x + 32. Solving for x gives 6x = 24, so x equals 4. Harish's present age is 8 times 4, which is 32.

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