The average weight of Shivshankar, Gopesh and Reena is 97 kg. If the average weight of Shivshankar and Gopesh is 93 kg and that of Gopesh and Reena is 82 kg, then the weight of Gopesh is

Let respective weights of Shivshankar, Gopesh and Reena is $$s , g , r$$ kg

Average weight of the three = $$\frac{s + g + r}{3} = 97$$

=> $$s + g + r = 97 \times 3 = 291$$ kg --------------(i)

Similarly, Total weight of Shivshankar and Gopesh = $$s + g = 93 \times 2 = 186$$ kg ---------------(ii)

Total weight of Gopesh and Reena = $$g + r = 82 \times 2 = 164$$ kg -------------(iii)

Adding equations(ii) and (iii), => $$s + 2g + r = 186 + 164 = 350$$ ---------------(iv)

Subtracting equation (i) from (iv), we get :

=> $$g = 350 - 291 = 59$$ kg

=> Ans - (C)