SOLUTION: Find the four consecutive even integers such that the sum of the second and fourth exceeds the sum of the first and second by 4.

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Question 1102304: Find the four consecutive even integers such that the sum of the second and fourth exceeds the sum of the first and second by 4.
Found 2 solutions by richwmiller, josgarithmetic:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
x
x+2
x+4
x+6
the sum of the second and fourth
x+2+x+6
exceeds the sum of the first and second by 4
x+x+2+4
x+2+x+6=x+x+2+4
2x+8=2x+6
2x+2=2x
2=0
Not true
No such x exists so the four consecutive even integers do not exist either.


Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The integers: system%28x%2Cx%2B2%2Cx%2B4%2Cx%2B6%29

The description: x%2B2%2Bx%2B6-%28x%2Bx%2B2%29=4
2x%2B8-%282x%2B2%29=4
2x%2B8-2x-2=4
6=4
IMPOSSIBLE

No solution