Question

The larger of two numbers is 11 more then the smaller. When added together, the sum of the larger number and five times the smaller number is 167.                                Larger number____________                                                                                          Smaller number____________________

Answer 1

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)