The sum of 2 consecutive odd integers is 52. If x represents the smaller integer, then the larger integer is

In order to find the larger integer, we simply add 2 to x.

This may sound confusing, but consider that 1 is an odd number. Add 2, and you get 3. Add 2, and you get 5, and so on. By adding 2 to an odd number, you'll get another odd number (this works for even numbers too!).

The equation should be

x + (x + 2) = 52

2x + 2 = 52

2x = 50

x = 25

25+2=27

The larger integer is 27

27

Step-by-step explanation:

2x+2=52

2x=50

x=25

x+2=27