Question
The average monthly income of A and B is ₹3,590. The
average monthly income of B and C is ₹4,250. The average monthly income of A and C is ₹6,500. What is the monthly income of C?Solution
Given: A + B = 3590 × 2 = 7180 B + C = 4250 × 2 = 8500 A + C = 6500 × 2 = 13,000 Add all three equations: (A + B) + (B + C) + (A + C) = 7180 + 8500 + 13000 = 28,680 LHS becomes: 2A + 2B + 2C = 28,680 → A + B + C = 28,680 ÷ 2 = 14,340 Now subtract A + B: C = 14,340 − 7180 = ₹7,160
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