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The average weight of A, B, C, D, and E is 48 kg, while the average weight of C and E is 42 kg. If the weight of F is also added, the average of all six becomes 2.5 kg less. Find the average weight of A, B, D, and F.

1. 52.25 kg
2. 42.25 kg
3. 47.25 kg
4. 57.25 kg

Correct answer: 47.25 kg

Solution

The total weight of A, B, C, D, E is 48 × 5 = 240 kg. Since the average of all six decreases by 2.5 kg, the new average is 45.5 kg, so total weight with F is 45.5 × 6 = 273 kg; hence F = 33 kg. Also, C + E = 42 × 2 = 84 kg, so A + B + D = 240 - 84 = 156 kg, and A + B + D + F = 189 kg. Their average is 189/4 = 47.25 kg.

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