To solve this problem, let’s follow the steps:
1. Identify the unknown whole number:
Let's denote the unknown whole number by \( x \).
2. Add \( x \) to 25:
When we add \( x \) to 25, the result is:
[tex]\[
25 + x
\][/tex]
3. Subtract \( x \) from 25:
When we subtract \( x \) from 25, the result is:
[tex]\[
25 - x
\][/tex]
4. Find the sum of the resulting numbers:
Now, we need to find the sum of the two results we got from steps 2 and 3. Therefore, sum them up:
[tex]\[
(25 + x) + (25 - x)
\][/tex]
5. Simplify the expression:
Let's simplify the expression by combining the like terms:
[tex]\[
(25 + x) + (25 - x) = 25 + x + 25 - x
\][/tex]
6. Combine the like terms:
Notice that \( +x \) and \( -x \) cancel each other out, leaving:
[tex]\[
25 + 25 = 50
\][/tex]
So, the sum of the resulting numbers when a whole number is added to 25 and then the same number is subtracted from 25 is [tex]\( 50 \)[/tex].
