SOLUTION: Hello, I am finding this problem to be confusing. Could you help me find two consecutive integers that equal 90? problem: Find 2 consecutive even numbers whose sum is 90 Tha

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Question 133791: Hello,
I am finding this problem to be confusing. Could you help me find two consecutive integers that equal 90?
problem: Find 2 consecutive even numbers whose sum is 90

Thank you,
Mrs. Gibson
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
If your first number is x, then the next consecutive EVEN integer must be x + 2, that's because if x is even, x + 1 must be odd, and then x + 1 + 1 must be even. And you say the sum of these two integers is 90, so x%2B%28x%2B2%29=90

x%2B%28x%2B2%29=90
2x%2B2=90
2x=88
x=44

So your numbers are 44 and 46. 44 + 46 = 90.

Note that the way you posed the problem at first doesn't have an answer. There are no two consecutive integers that would total 90. That's because if you have two consecutive integers, one of them must be even and the other one odd, and the sum of an even integer plus an odd integer is always odd, but 90 is even.