SOLUTION: If you begin with an even integer and count by two, you are counting consecutive even integers. Write and solve an equation to find two consecutive even integers whose sum is 50.

Question 105704: If you begin with an even integer and count by two, you are counting consecutive even integers. Write and solve an equation to find two consecutive even integers whose sum is 50.
Answer by fmo(8) (Show Source): You can put this solution on YOUR website!
OK, you start with an even integer - we'll call it x.
To get to the next consecutive even integer, you are told that you have to add 2. So the next consecutive even integer after x would be x+2.
Finally, we're told that we need to find two consecutive even integers that add up to 50.
So, x + (x + 2) = 50.
To solve, gather like terms on the left side of the equation:
2x + 2 = 50
Divide both sides of the equation by the greatest common factor (2):
x + 1 = 25
And finally, subtract 1 from both sides:
x = 24
Remember, x was our original even integer, so to find the "next consecutive integer" add x + 2 (24 + 2 = 26).
The two consecutive integers that, when added together sum to 50, are 24 and 26.

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