Hello there!
The larger integer is 114.
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. But they asked us for the lager integer. So 114 is the answer.
I hope this helps! As always, it is my pleasure to help students like you!