[tex]\begin{gathered} Let^{\prime}\text{s dog initial mass was x lb.} \\ S\text{o, he losses 1 lb}\Rightarrow x-1, \\ h\text{e agin losses 1 lb}\Rightarrow x-1-1=x-2, \\ \text{Now, he gains 1 lb}\Rightarrow x-2+1=x-1\text{ } \\ \text{change in dog weight is,} \\ \Rightarrow x-(x-1)=x-x+1=1 \\ Thus,\text{ changes in weight is 1 lb.} \end{gathered}[/tex]