Question

Once a dog and a cat were talking. The dog said “I am carrying more sacks than you”. In fact , if you give me one of your sacks, then I would have twice as many as you. If I give a sack, our loads would be equal. How many sacks was each animal carrying?

Answer 1

Dear Student,

$$\begin{gathered} Letdoghavexsacksandcathaveysacks. \\ Then,accordingtoquestion, \\ x+1=2\left(y-1\right)....\left(1\right) \\ x-1=y....\left(2\right) \\ Subtractingequ\left(2\right)from\left(1\right),weget \\ x+1-2\left(y-1\right)-x+1+y=0 \\ 2-2y+2+y=0 \\ 4-y=0 \\ y=4 \\ Substitutingvalueofyinequ.\left(2\right),weget \\ x=y+1 \\ \mathit{x}\mathbf{=}\mathbf{5} \\ \mathit{D}\mathit{o}\mathit{g}\mathbf{}\mathit{i}\mathit{s}\mathbf{}\mathit{c}\mathit{a}\mathit{r}\mathit{r}\mathit{y}\mathit{i}\mathit{n}\mathit{g}\mathbf{}\mathbf{5}\mathbf{}\mathit{s}\mathit{a}\mathit{c}\mathit{k}\mathit{s}\mathbf{}\mathit{a}\mathit{n}\mathit{d}\mathbf{}\mathit{c}\mathit{a}\mathit{t}\mathbf{}\mathit{i}\mathit{s}\mathbf{}\mathit{c}\mathit{a}\mathit{r}\mathit{r}\mathit{y}\mathit{i}\mathit{n}\mathit{g}\mathbf{}\mathbf{4}\mathbf{}\mathit{s}\mathit{a}\mathit{c}\mathit{k}\mathit{s} \end{gathered}$$

Regards