Question

Gunjan puts two hundred marbles in five boxes. In first and second, there are altogether sixty marbles; in the second and third there are sixty eight marbles, how many marbles are there in each box ?

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{boxes}\mathrm{be}\mathrm{denoted}\mathrm{by}\mathrm{a},\mathrm{b},\mathrm{c},\mathrm{d},\mathrm{e} \\ \mathrm{A}.\mathrm{T}.\mathrm{Q} \\ \mathrm{a}+\mathrm{b}+\mathrm{c}+\mathrm{d}+\mathrm{e}=200 \\ \mathrm{a}+\mathrm{b}=60 \\ \mathrm{b}+\mathrm{c}=68 \\ \mathrm{Data}\mathrm{is}\mathrm{insufficient}\mathrm{to}\mathrm{solve}\mathrm{the}\mathrm{question}\mathrm{and}\mathrm{hence}\mathrm{we}\mathrm{cannot}\mathrm{find} \\ \mathrm{how}\mathrm{many}\mathrm{marbles}\mathrm{are}\mathrm{there}\mathrm{in}\mathrm{each}\mathrm{box}\mathrm{as}\mathrm{there}\mathrm{are}5\mathrm{variables} \\ \mathrm{and}3\mathrm{equations}. \end{gathered}$$