Answer:
The numbers are 3 and 17.
Step-by-step explanation:
Let a and b respectively represent the larger and smaller numbers. We have:
[tex]a =2b + 11[/tex]
[tex]a + b = 7b- 1[/tex]
Substitute the top equation into the bottom equation, solve for b, and then find a.
[tex]2b + 11 + b = 7b - 1[/tex]
[tex]3b + 11 = 7b - 1[/tex]
[tex]4b = 12[/tex]
[tex]b = 3[/tex]
[tex]a = 2(3) + 11 = 6 + 11 = 17[/tex]
