The larger of two numbers is 11 more *than the smaller.
x=y+11
When added together, the sum of the larger number and five times the smaller number is 167.
x+5y=167
substitute x=y+11 into the sum:
(y+11)+5y=167
6y=156
y=26 (smaller number)
x=y+11
=26+11
=37 (larger number)