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What should come in place of question ma...

What should come in place of question mark (?) in following questions ?
`4 xx (? + 120) = (8)^(3)`

A

6

B

12

C

8

D

4

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 4 \times (? + 120) = 8^3 \), we will follow these steps: ### Step 1: Calculate \( 8^3 \) First, we need to calculate \( 8^3 \): \[ 8^3 = 8 \times 8 \times 8 = 512 \] ### Step 2: Rewrite the equation Now, we can rewrite the equation using the value we found: \[ 4 \times (? + 120) = 512 \] ### Step 3: Divide both sides by 4 Next, we will divide both sides of the equation by 4 to isolate the term in the parentheses: \[ ? + 120 = \frac{512}{4} \] Calculating the right side: \[ \frac{512}{4} = 128 \] So, we have: \[ ? + 120 = 128 \] ### Step 4: Subtract 120 from both sides Now, we will subtract 120 from both sides to solve for the question mark: \[ ? = 128 - 120 \] Calculating the right side: \[ ? = 8 \] ### Conclusion Thus, the value that should come in place of the question mark (?) is: \[ \boxed{8} \]
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