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Which integer should be placed in the bo...

Which integer should be placed in the box such that the result is 2?
`[{(20-18-square) + 2} xx 4] divide 14`

A

3

B

33

C

-3

D

30

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to find the integer that should be placed in the box so that the expression results in 2. The expression is given as: \[ \left[ (20 - 18 - \text{box}) + 2 \right] \times 4 \div 14 = 2 \] Let's break this down step by step. ### Step 1: Set up the equation We start with the equation: \[ \left[ (20 - 18 - \text{box}) + 2 \right] \times 4 \div 14 = 2 \] ### Step 2: Simplify the equation First, we can multiply both sides by 14 to eliminate the division: \[ \left[ (20 - 18 - \text{box}) + 2 \right] \times 4 = 2 \times 14 \] This simplifies to: \[ \left[ (20 - 18 - \text{box}) + 2 \right] \times 4 = 28 \] ### Step 3: Divide by 4 Next, we divide both sides by 4: \[ (20 - 18 - \text{box}) + 2 = \frac{28}{4} \] This simplifies to: \[ (20 - 18 - \text{box}) + 2 = 7 \] ### Step 4: Isolate the box Now, we can simplify the left side: \[ (2 - \text{box}) + 2 = 7 \] Combine like terms: \[ 2 - \text{box} + 2 = 7 \] This simplifies to: \[ 4 - \text{box} = 7 \] ### Step 5: Solve for the box Now, we isolate the box: \[ -\text{box} = 7 - 4 \] This gives us: \[ -\text{box} = 3 \] Multiplying both sides by -1: \[ \text{box} = -3 \] ### Final Answer The integer that should be placed in the box is: \[ \text{box} = -3 \] ---

To solve the problem, we need to find the integer that should be placed in the box so that the expression results in 2. The expression is given as: \[ \left[ (20 - 18 - \text{box}) + 2 \right] \times 4 \div 14 = 2 \] Let's break this down step by step. ...
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