The mean (average) weight of three students is 40 kg. One of the students Ranga weighs 46 kg. The other two students, Rahim and Reshma

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The mean (average) weight of three students is 40 kg. One of the students Ranga weighs 46 kg. The other two students, Rahim and Reshma have the same weight. Find Rahim’s weight.

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Weight of Ranga = 46 kg

Weight of Reshma = Weight of Rahim = x kg say

Average = Sum of the weights/ Number = 40 kg

∴ 40 = $\frac {46+x+x}{3}$

3 x 40 = 46 + 2x

2x = 120 – 46 = 74

∴ x = 74/2 = 37

∴ Rahim’s weight = 37 kg.