Step-by-step explanation:
Set up a system of equations,
Consective numbers appear before and after so we need two number such that
[tex]x + 1 = y[/tex]
or
[tex]x - y = - 1[/tex]
Likewise, we also know that
[tex]4x + 3y = 157[/tex]
Let multiply the top equation by 3.
We get
[tex]3x - 3y = - 3[/tex]
Then we add the bottom equation to that
[tex]4x + 3y = 157[/tex]
[tex]7x = 154[/tex]
[tex]x = 22[/tex]
Then we plug in x for the original equation,
[tex]22 + 1 = 23[/tex]
So the two numbers are 22,23.
