The sum of two consecutive even integers is 226. what is the larger number?
a. 114
b. 116
c. 112
d. 118

First, assign a variable that you're looking for.

Let x = the larger number
Then x - 1 = the smaller number

The sum of x and x - 2 will equal to 226.

x + x - 1 = 226
2x - 1 = 226
2x = 228
x = 114

So, the smaller number is 112 and the larger number is 114.