
When you ask "What number is halfway between 84 and 257?" we assume you mean the number in the exact middle of the two numbers on a number line, as illustrated below, where X=84 and Y=257.

To find the number halfway between 84 and 257, we use the following formula:
(X + Y)/2 = Halfway Between
When we enter 84 and 257 into our formula, we get:
(84 + 257)/2 = 170.5
Thus, the number halfway between 84 and 257 is 170.5.
To check that our answer is correct, we subtract 84 from 170.5 and subtract 170.5 from 257 and compare the two numbers:
170.5 - 84 = 86.5
257 - 170.5 = 86.5
As you can see, the halfway number is 86.5 higher than 84 and 86.5 lower than 257. Therefore, our halfway between answer of 170.5 above is correct.
Halfway Between
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Halfway Between 84 and 258
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