We have to transform each part into an equation.
"Their combined savings is $110" can be expressed as
[tex]x+y=110[/tex]"One brother has $35 less than the other" can be expressed as
[tex]x=y-35[/tex]Now, we replace the second equation into the first one
[tex]\begin{gathered} y-35+y=110 \\ 2y-35=110 \\ 2y=110+35 \\ 2y=145 \\ y=\frac{145}{2}=72.50 \end{gathered}[/tex]One brother has $72.50.
Now, we find the other value using the second equation
[tex]x=72.50-35=37.50[/tex]The other brother has $37.50.