SOLUTION: the sum of two consecutive even integers is 78. find the larger number

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Question 225335: the sum of two consecutive even integers is 78. find the larger number
Answer by LtAurora(115) About Me  (Show Source):
You can put this solution on YOUR website!
For two consecutive even integers, the first integer is represented by x, and the second by x+2.
Thus, we can write:
x%2Bx%2B2=78.
Combine like terms:
2x%2B2=78
Move the 2 over:
2x=76
Divide both sides by 2:
x=38
This is the first of the two integers. The second one is found by x%2B2
So, 38%2B2=40, which is the larger of the two integers.