Multiple choice

The average age of three persons - A, B and C - is 44 years. The ratio of the ages of A and C is 3 : 4 and the sum of the ages of A and C is 98 years. Find the sum of the ages of B and C.

  1. 80 years

  2. 85 years

  3. 90 years

  4. 95 years

  5. 100 years
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C Correct answer
Explanation

Average of A, B, C is 44, so A+B+C = 132. Given A+C = 98, then B = 132 - 98 = 34. Since A:C = 3:4 and A+C = 98, 7 parts = 98, so 1 part = 14. A = 42, C = 56. B+C = 34 + 56 = 90.

AI explanation

The total age of A, B, and C is 3 * 44 = 132 years. Given the ratio of A to C is 3 to 4 and their sum is 98, A's age is (3/7) * 98 = 42 years and C's age is 98 - 42 = 56 years. The sum of the ages of B and C is the total age minus A's age, which is 132 - 42 = 90 years.

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