Step-by-step explanation:
Let x be the first number
Let y be the 2nd number
given,
[tex]x = 3y - 11 \\ x - 3y = - 11[/tex]
as equation 1
and
[tex]x + y = 25[/tex]
as equation 2.
Now we will use elimination method to solve for simultaneous equations.
We will use equation 1 - equation 2 to eliminate x to solve for y.
[tex]x - x - 3y - y = - 11 - 25 \\ - 4y = - 36 \\ y = - 36 \div - 4 \\ = 9[/tex]
Substitute y into equation 2.
[tex]x + 9 = 25 \\ x = 25 - 9 \\ = 16[/tex]
The numbers are 9 and 16.