The sum and a number divided by 3 equals 6. Find the number.

6

-2/3

-6

52

1 answer

Let the number be denoted as \( x \). According to the condition given:

\[ \frac{x + 6}{3} = 6 \]

To solve for \( x \), first multiply both sides of the equation by 3:

\[ x + 6 = 18 \]

Now, subtract 6 from both sides:

\[ x = 18 - 6 \]

\[ x = 12 \]

Since 12 is not in the options you provided, let's rewrite the equation to make sure:

Starting again, the original equation can be interpreted as:

\[ \frac{6 + x}{3} = 6 \]

This adjusts to:

\[ 6 + x = 18 \]

Solving gives \( x = 12 \).

Now, looking back at the options:

  • \( 6 \)
  • \( -\frac{2}{3} \)
  • \( -6 \)
  • \( 52 \)

None of the options match \( 12 \). Please clarify if the question is correctly stated or if there are other possible values for the given sum.