# The difference of a number divided by 3 and 6 is equal to 5. What is the number?

The number is 30.

Let x be the number, then the equation is:

Multiply both sides of the equation by 6:

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33

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See a solution process below:

Next, we can write "a number divided by 3" as:

Then, we can write "the difference between" a number divided by 3 "and 6" as:

Now, we can complete this equation by write "is equal to 5" as:

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The number is either

This has two possible interpretations #{: (color(blue)(n)color(green)(/3) color(red)(-) color(magenta)6color(brown)(=5),color(white)("xx")"and"color(white)("xx"),color(magenta)6color(red)-color(blue)ncolor(green)(/3)color(brown)(=5)), (rarr color(blue)ncolor(green)(/3)=11,,rarrcolor(red)-color(blue)ncolor(green)(/3)color(brown)=-1), (rarr color(blue)n=33,,rarr color(blue)n=-3) :}#

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Let's denote the number as ( x ). According to the given information:

[\frac{x}{3} - 6 = 5]

Now, solve for ( x ) by isolating it on one side of the equation:

[\frac{x}{3} = 5 + 6]

[\frac{x}{3} = 11]

[x = 11 \times 3]

[x = 33]

So, the number is ( 33 ).

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