Multiple choice

The average age of 10 persons is 48 years while that of 8 persons is 47 years. The age of one of the other two persons is 60% more than the other one. The ages of these persons are

  1. 30 years and 48 years

  2. 35 years and 56 years

  3. 40 years and 64 years

  4. 45 years and 72 years

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

Sum of 10 = 480. Sum of 8 = 376. Sum of remaining 2 = 104. Let ages be x and 1.6x. 2.6x = 104, x = 40. The other is 1.6 * 40 = 64.

AI explanation

The total age of the 10 persons is 10 times 48, which equals 480 years, while the total age of the 8 persons is 8 times 47, which equals 376 years. The sum of the ages of the remaining two persons is the difference between these totals: 480 - 376 = 104 years. Let one person's age be x and the other be 1.6x since it is 60 percent more, giving the equation x + 1.6x = 104. Solving this gives 2.6x = 104, so x = 40, and the second person's age is 1.6 times 40 = 64 years, making the ages 40 years and 64 years.

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