The sum of two numbers is 35. the smaller number is 13 less than the larger number. what are the numbers?

Let the smaller number be represented by x and the larger number x+13

x+x+13=35 x+13=11+13=24

2x+13=35 11+24=35

2x+13-13=35-13 therefore the two numbers are11 and 24

2x=22

2x/2=22/2

x=11