Multiple choice

If the average weight of P and B is 80 kg, the average weight of B and C is 55 kg, the average weight of C and P is 65 kg, then what is the weight of B?

  1. 50 kg

  2. 60 kg

  3. 70 kg

  4. 75 kg

  5. 85 kg
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Given P+B=160, B+C=110, and C+P=130. Adding these gives 2(P+B+C) = 400, so P+B+C = 200. Subtracting (C+P)=130 from 200 gives B=70.

AI explanation

From the given averages, the sum of P and B is 160 kg, the sum of B and C is 110 kg, and the sum of C and P is 130 kg. Adding all three equations gives 2(P plus B plus C) equals 400, so the total weight of P, B, and C is 200 kg. Subtracting the sum of C and P (130 kg) from this total gives the weight of B, which is 200 minus 130, equaling 70 kg.

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