The larger of two numbers is eleven more than twice the smaller number. The sum of the two numbers is one less than seven times the smaller number. Find the two numbers.

Question

I'm having some problems figuring it out

Answer 1

L= 11 + 2S

L+S = 7S-1

11+2S + S = 7S-1

4S= 12

S = 12/4 = 3 = the smaller number

L= 11+2(3) = 17 = the larger number