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What value will come in place of the que...

What value will come in place of the question mark (?) in each of the following questions ?
`592.5-156.7=278.4+?`

A

152.4

B

157.4

C

167.4

D

168.4

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 592.5 - 156.7 = 278.4 + ? \), we will follow these steps: ### Step 1: Calculate \( 592.5 - 156.7 \) First, we need to perform the subtraction on the left side of the equation. \[ 592.5 - 156.7 \] ### Step 2: Perform the subtraction Align the numbers and subtract: \[ \begin{array}{r} 592.5 \\ - 156.7 \\ \hline \end{array} \] Starting from the rightmost digit: - \( 5 - 7 \) cannot be done, so we borrow 1 from the 2 (making it 1) and the 5 becomes 15. Thus, \( 15 - 7 = 8 \). - Next, \( 1 - 6 \) cannot be done, so we borrow 1 from the 9 (making it 8) and the 1 becomes 11. Thus, \( 11 - 6 = 5 \). - Finally, \( 8 - 1 = 7 \). Thus, \[ 592.5 - 156.7 = 435.8 \] ### Step 3: Set up the equation Now we rewrite the equation with the result from Step 2: \[ 435.8 = 278.4 + ? \] ### Step 4: Isolate the question mark To find the value of \( ? \), we need to isolate it by subtracting \( 278.4 \) from both sides: \[ ? = 435.8 - 278.4 \] ### Step 5: Perform the subtraction Align the numbers and subtract: \[ \begin{array}{r} 435.8 \\ - 278.4 \\ \hline \end{array} \] Starting from the rightmost digit: - \( 8 - 4 = 4 \) - \( 5 - 8 \) cannot be done, so we borrow 1 from the 3 (making it 2) and the 5 becomes 15. Thus, \( 15 - 8 = 7 \). - Finally, \( 2 - 2 = 0 \). Thus, \[ 435.8 - 278.4 = 157.4 \] ### Step 6: Conclusion The value that will come in place of the question mark \( ? \) is: \[ ? = 157.4 \] ### Final Answer The answer is \( 157.4 \). ---
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