Question
The average weight of Mohan, Rupali and Ashish is 45 kg.
If the average weight of 3 Mohan and Rupali is 42 kg and that of Rupali and Ashish is 49 kg, then Rupali's weight (in kg) is:Solution
Average of Mohan, Rupali and Ashish = 45
Total weight = 45 × 3 = 135 Average of 3 Mohan and Rupali = 42
3M + R = 42 × 4 = 168 Average of Rupali and Ashish = 49
R + A = 49 × 2 = 98 Also,
M + R + A = 135 From R + A = 98 ⇒ A = 98 − R Substitute:
M + 98 = 135
M = 37 Put in 3M + R = 168 3 × 37 + R = 168
111 + R = 168 R = 57 kg
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