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

Ibelieve the answer would be 7, 13, 23