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4985. 23 + ? + 5595.25 = 14022 .12...

4985. 23 + ? + 5595.25 = 14022 .12

A

3832.24

B

3513 .14

C

3426.36

D

3441.64

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 4985.23 + ? + 5595.25 = 14022.12 \), we will follow these steps: ### Step 1: Set up the equation Let \( x \) be the unknown value (the question mark). We can rewrite the equation as: \[ x + 4985.23 + 5595.25 = 14022.12 \] ### Step 2: Add the known numbers Now, we will add \( 4985.23 \) and \( 5595.25 \): \[ 4985.23 + 5595.25 \] Aligning the numbers: ``` 4985.23 + 5595.25 ----------- ``` Adding the decimal parts: - \( 0.23 + 0.25 = 0.48 \) Adding the whole numbers: - \( 4985 + 5595 = 10580 \) So, the total is: \[ 10580.48 \] ### Step 3: Substitute back into the equation Now, we substitute this sum back into the equation: \[ x + 10580.48 = 14022.12 \] ### Step 4: Solve for \( x \) To find \( x \), we will subtract \( 10580.48 \) from \( 14022.12 \): \[ x = 14022.12 - 10580.48 \] Aligning the numbers for subtraction: ``` 14022.12 - 10580.48 ----------- ``` Subtracting the decimal parts: - \( 12 - 48 \): We need to borrow, so it becomes \( 12 + 100 - 48 = 64 \) (we borrowed 1 from the 2, making it 1) - \( 1 - 0 = 1 \) Subtracting the whole numbers: - \( 14000 - 10500 = 3500 \) - \( 3500 + 1000 = 4600 \) So, the total is: \[ x = 3431.64 \] ### Final Answer Thus, the value of the question mark \( ? \) is: \[ \boxed{3431.64} \] ---
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