We can use a system of linear equations to find out the answer to this problem. The larger number will be x and the smaller number will be y.
x=y+5
x+y=66
Substitute y+5 in for the bottom equation to get y+5+y=66. Simplify to get 2y+5=66. Subtract 5 from both sides and get 2y=61. Divide by 2 to get y=30.5. This is the smaller number. Add 5 to get the bigger number, which is 35.5
