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(128 div 16xx?-7xx2)/(762 -8xx6) =1...

`(128 div 16xx?-7xx2)/(762 -8xx6) =1`

A

103

B

91

C

99

D

107

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \((128 \div 16 \times ? - 7 \times 2)/(762 - 8 \times 6) = 1\), we will follow these steps: ### Step 1: Simplify the denominator First, we will simplify the denominator \(762 - 8 \times 6\). \[ 8 \times 6 = 48 \] \[ 762 - 48 = 714 \] ### Step 2: Rewrite the equation Now, we can rewrite the equation using the simplified denominator: \[ \frac{128 \div 16 \times ? - 7 \times 2}{714} = 1 \] ### Step 3: Cross-multiply Next, we will cross-multiply to eliminate the fraction: \[ 128 \div 16 \times ? - 7 \times 2 = 714 \] ### Step 4: Calculate \(128 \div 16\) Now, we calculate \(128 \div 16\): \[ 128 \div 16 = 8 \] ### Step 5: Substitute back into the equation Substituting this back into the equation gives us: \[ 8 \times ? - 7 \times 2 = 714 \] ### Step 6: Calculate \(7 \times 2\) Now, we calculate \(7 \times 2\): \[ 7 \times 2 = 14 \] ### Step 7: Substitute and rearrange Substituting this value back into the equation: \[ 8 \times ? - 14 = 714 \] Now, we can rearrange the equation to isolate \(8 \times ?\): \[ 8 \times ? = 714 + 14 \] \[ 8 \times ? = 728 \] ### Step 8: Solve for \(?\) Finally, we divide both sides by 8 to solve for \(?\): \[ ? = \frac{728}{8} \] \[ ? = 91 \] ### Conclusion Thus, the value of \(?\) is \(91\).
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