
When you ask "What number is halfway between 31 and 106?" we assume you mean the number in the exact middle of the two numbers on a number line, as illustrated below, where X=31 and Y=106.

To find the number halfway between 31 and 106, we use the following formula:
(X + Y)/2 = Halfway Between
When we enter 31 and 106 into our formula, we get:
(31 + 106)/2 = 68.5
Thus, the number halfway between 31 and 106 is 68.5.
To check that our answer is correct, we subtract 31 from 68.5 and subtract 68.5 from 106 and compare the two numbers:
68.5 - 31 = 37.5
106 - 68.5 = 37.5
As you can see, the halfway number is 37.5 higher than 31 and 37.5 lower than 106. Therefore, our halfway between answer of 68.5 above is correct.
Halfway Between
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Halfway Between 31 and 107
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