SSC CHSL 10 Jan 2017 Shift 1 Paper

Let respective weights of Shivshankar, Gopesh and Reena is $\mathit{s},\mathit{g},\mathit{r}$ kg
Average weight of the three = $\frac{\mathit{s}+\mathit{g}+\mathit{r}}{3}=97$
⇒ $\mathit{s}+\mathit{g}+\mathit{r}=97\times 3$ = 291 kg ------(i)
Similarly, Total weight of Shivshankar and Gopesh = $\mathit{s}+\mathit{g}=93\times 2=$ 186 kg ------(ii)
Total weight of Gopesh and Reena = $\mathit{g}+\mathit{r}=82\times 2=$ 164 kg -------(iii)
Adding equations(ii) and (iii), ⇒ $\mathit{s}+2\mathit{g}+\mathit{r}$ = 186 + 164 = 350 ------(iv)
Subtracting equation (i) from (iv), we get :
⇒ $\mathit{g}=350-291=59$ kg