The sum of two consecutive even integers is 226. What is the larger integer?

We represent the first integer with y and the second even integer equal to y + 2. Using the given statement, we translate it into equation: y + y+2 = 226. we add like terms, y and y equal then to 2y + 2 = 226. y is equal to 112 while the other integer has to be equal to 114. The answer is 114.

Since the two consecutive integers are even, one of them will be represented by x and one will be x + 2.

x + (x + 2) = 226 Combine like terms

2x + 2 = 226 Subtract 2 from both sides

2x = 224 Divide

x = 112

The two integers are 112 and 114. You can double check by them

112 + 114 = 226