Answer:
The numbers are 9 and -11
Step-by-step explanation:
Given
Represent both numbers with x and y where x is the biggest.
[tex]x = 20 + y[/tex]
[tex]4x + y = 25[/tex]
Substitute 20 + y for x in the second equation
[tex]4(20 + y) + y = 25[/tex]
[tex]80 + 4y + y = 25[/tex]
[tex]80 + 5y = 25[/tex]
Solving for y
[tex]5y = -55[/tex]
[tex]y - \frac{-55}{5}[/tex]
[tex]y = -11[/tex]
Solving for (x)
[tex]x = 20 + y[/tex]
[tex]x = 20 - 11[/tex]
[tex]x = 9[/tex]
The numbers are 9 and -11
