The sum of two numbers is 110. The larger number is 2 less than 7 times the smaller. Find the larger number.

We call two numbers a and b, notice a>b

The sum of two numbers is 110: a+b=110

The larger number is 2 less than 7 times the smaller: a=7b-2

And by replacing a=7b-2 we have an equation: 7b-2+b=110

or 8b=110+2, and 8b=112, that means b=112:8 = 14

We have two numbers: 14 and 96