Multiple choice

The average weight of A and B is 50 kg, B and C is 45 kg and C and A is 55 kg. Find the weight of A.

  1. 65 kg

  2. 50 kg

  3. 60 kg

  4. 45 kg
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A+B=100, B+C=90, C+A=110. Summing these: 2(A+B+C) = 300, so A+B+C = 150. A = (A+B+C) - (B+C) = 150 - 90 = 60.

AI explanation

Write the three given averages as equations: A plus B equals 100, B plus C equals 90, and C plus A equals 110. Adding all three equations together yields 2 times the sum of A, B and C equals 300. Dividing by 2 gives the combined weight of A, B and C as 150 kg. To find A, subtract the combined weight of B and C from 150, giving 150 minus 90, which equals 60 kg.

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