The US senate has 100 members.
After a certain election, there were 2 more Democrats than Republicans.
Let x be the number of Republican members.
Then the number of Democrat members is (x + 2)
The sum of both must be equal to 100
So, we can set up the following equation
[tex]x+(x+2)=10[/tex]Let us solve the equation for x
[tex]\begin{gathered} x+x+2=100 \\ 2x+2=100 \\ 2x=100-2 \\ 2x=98 \\ x=\frac{98}{2} \\ x=49 \end{gathered}[/tex]So, the number of Republican members is 49
Then the number of Democrats is
x + 2 = 49 + 2 = 51
So, the number of Democrats is 51
