Question

The sum of 2 consecutive even integers is 234, what is the larger integer

Answer 1

Let one of the numbers be x.
The other number will be x + 2.

Sum of the 2 numbers is 234.
x + x + 2 = 234
2x + 2 = 234
2x + 232
x = 116

One number = 116
Other number = 116 + 2 = 118

Answer: Larger number = 118

Answer 2

x= smaller integer
x+2= larger integer

Add the integers

x + (x + 2)= 234
2x + 2= 234
subtract 2 from both sides

2x= 232
divide both sides by 2

x= 116 smaller integer

x+2= 118 larger integer


CHECK:
116 + 118= 234
234= 234


ANSWER: The larger consecutive even integer is 118.

Hope this helps! :)