Question

at a certain park the number of heads and the number of legs of deers and humans vister were counted and it was found there were 39 heads and32 legs find the no. of deer and humans visiters

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{x}\mathrm{be}\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{humans}\mathrm{and}\mathrm{y}\mathrm{be}\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{deer}. \\ \mathrm{Since},\mathrm{human}\mathrm{has}\mathrm{one}\mathrm{head}\mathrm{and}\mathrm{two}\mathrm{legs}\&\mathrm{deer}\mathrm{has}\mathrm{one}\mathrm{head}\mathrm{and}\mathrm{four}\mathrm{legs}, \\ \mathrm{x}+\mathrm{y}=39\left(\mathrm{For}\mathrm{heads}\right)....\left(1\right) \\ 2\mathrm{x}+4\mathrm{y}=132\left(\mathrm{For}\mathrm{legs}\right).....\left(2\right) \\ \mathrm{Multiply}\left(1\right)\mathrm{by}2,\mathrm{we}\mathrm{get} \\ 2\mathrm{x}+2\mathrm{y}=78.....\left(3\right) \\ \mathrm{Subtracting}\left(3\right)\mathrm{from}\left(2\right),\mathrm{we}\mathrm{get} \\ 2\mathrm{y}=54 \\ \Rightarrow \mathrm{y}=27 \\ \mathrm{Now},\mathrm{from}\left(1\right),\mathrm{we}\mathrm{get} \\ \mathrm{x}=39-27=12 \\ \mathrm{So},\mathrm{number}\mathrm{of}\mathrm{humans}=12 \\ \mathrm{number}\mathrm{of}\mathrm{deer}=27 \end{gathered}$$