Answer:
The smaller integer is 4 and larger integer is 8 .
Step-by-step explanation:
First we have to form own variables and expression. So we let the smaller integer be x and the larger integer be y. Next using the information given to form expressions :
[tex]x + y = 12 \\ 5y - x = 36[/tex]
Lastly, we can solve the simultaneous equation using Elimination :
[tex]x + y = 12 - - - (1)[/tex]
[tex] - x + 5y = 36 - - - (2)[/tex]
[tex](1) + (2)[/tex]
[tex]x + ( - x) + y + 5y = 12 + 36[/tex]
[tex]6y = 48[/tex]
[tex]y = 8[/tex]
[tex]sub \: y = 8 \: into \: (1)[/tex]
[tex]x + 8 = 12[/tex]
[tex]x = 4[/tex]
