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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 $6$ , getting $112$ as the answer. What would be the correct answer?

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122

118

114

124

answer is A.

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Detailed Solution

Let

x

be the number.
Given, correct equation is

\frac{x}{6} + 12 = ?

and incorrect equation is

\frac{x + 12}{6} = 112

.
According to given conditions,

\frac{x + 12}{6} = 112

\Rightarrow x + 12 = 112 \times 6

\Rightarrow x = 660

Using this value of

x

in correct equation, we get,

\frac{x}{6} + 12

\Rightarrow \frac{660}{6} + 12

\Rightarrow 122

Therefore, the correct answer would be

122

.
Hence, the correct option is 1.

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