Question 1180772
<br>
While it is often the case in problems with consecutive even integers that using x-2, x, and x+2 for the three integers makes the algebra needed to solve the problem easier, it does not look that way for this problem.<br>
A quick mental solution could go like this:<br>
The third integer is 4 more than the first; so if the sum of the third and twice the first is 268,246 then three times the first is 268,246-4=268,242.  So the smallest of the integers is 268,242/3 = 89414.<br>
ANSWERS: 89,414; 89,416; and 89,418<br>
The same solution using formal algebra would look like this:<br>
2(x)+(x+4) = 268246
3x+4 = 268246
3x=268242
x=268242/3 = 89414<br>
89414, 89416, and 89418<br>