Question

A student was asked to divide a number by 6 and add 12 to the quotient. He, however, first added 12 to the number and then divided it by 6, got 112 as the answer. The correct answer should have been:

• A. 124
• B. 122
• C. 118
• D. 114
• E. None of the above

Answer 1

The correct option is B 122

Let the number be x
Therefore, $\frac{x+12}{6}=112$
$\Rightarrow x+12=672$
$\Rightarrow x=672-12=660$
Hence, correct answer
$=\frac{660}{6}+12=110+12=122$