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A whole number is added to 25 and the sa...

A whole number is added to 25 and the same number is subtracted from 25. The sum of the resulting numbers is

A

0

B

25

C

50

D

75

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, let's denote the whole number as \( x \). ### Step 1: Add the whole number to 25 We start by adding the whole number \( x \) to 25: \[ 25 + x \] ### Step 2: Subtract the whole number from 25 Next, we subtract the same whole number \( x \) from 25: \[ 25 - x \] ### Step 3: Calculate the sum of the two results Now, we need to find the sum of the two results from Step 1 and Step 2: \[ (25 + x) + (25 - x) \] ### Step 4: Simplify the expression When we simplify the expression, we notice that the \( x \) and \( -x \) cancel each other out: \[ 25 + x + 25 - x = 25 + 25 = 50 \] ### Conclusion Thus, the sum of the resulting numbers is: \[ \text{The sum is } 50 \] ### Final Answer The correct answer is option 3, which is 50. ---
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