A number is multiplied by 5 and then 9 is subtracted from the result, giving 51 . What is the original number?
(A) 210
(B) 8.4
(C) 65
(D) 12
(E) 15
Solution 1

Since 5 times the number minus 9 equals 51 , then 5 times the number must equal 60 (that is, $51+9$ ).

Therefore, the original number is 60 divided by 5 , or 12 .

## Solution 2

Let the original number be $x$.

Then $5 x-9=51$, so $5 x=51+9=60$, so $x=\frac{60}{5}=12$.

ANSWER: (D)

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