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    Question

    The average weight of A, B, C is 76 kg when D joins them

    the average weight becomes 70 kg. If E whose weight is 2 kg more than D replaces A, then the average weight of B, C, D and E become 69 kg. Find the weight of A.
    A 60 kg Correct Answer Incorrect Answer
    B 54 kg Correct Answer Incorrect Answer
    C 56 kg Correct Answer Incorrect Answer
    D 45 kg Correct Answer Incorrect Answer
    E 58 kg Correct Answer Incorrect Answer

    Solution

    Sum of weight of A, B and C = 76 × 3 = 228 kg Sum of weight of A, B, C and D = 70 × 4 = 280 kg Weight of D = 280 – 228 = 52 kg Weight of E = 52 + 2 = 54 kg Sum of weight of B, C, D, E = 69 × 4 = 276 kg Weight of (B + C) = 276 – 52 – 54 = 170 kg Weight of A = 228 – 170 = 58 kg

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