Average weight of Sunil and Ravi is 45 kg. Average weight of Ravi and Pranit is 41 kg. And average weight of Sunil and Pranit is 42 kg. Then find the weight of Sunil.
Given data -
Average weight of Sunil and Ravi = 45 kg
Weight of Sunil and Ravi = 45 × 2
Weight of Sunil and Ravi = 90 kg - - - (1)
& Average weight of Ravi and Pranit = 41 kg
Weight of Ravi and Pranit = 41 × 2
Weight of Ravi and Pranit = 82 kg - - - - (2)
& Average weight of A & C = 42 kg
Weight of Sunil and Pranit = 42 × 2
Weight of Sunil and Pranit = 84 kg - - - - (3)
Adding results (1), (2) & (3) -
Weight of Sunil and Ravi + Weight of Ravi and Pranit + Weight of Sunil and Pranit = 90 + 82 + 84
⇒ 2 × Weight of Sunil + 2 × Weight of Ravi + 2 × Weight of Pranit = 256 kg
⇒ 2(Weight of Sunil + Weight of Ravi + Weight of Pranit) = 256 kg
⇒ Weight of Sunil + Weight of Ravi + Weight of Pranit = 128 kg - - - - (4)
Subtracting result (2) from result (4) -
(Weight of Sunil + Weight of Ravi + Weight of Pranit) - (Weight of Ravi + Weight of Pranit) = 128 - 82
∴ Weight of Sunil = 46 kg