# Four more than the quotient of a number and 3 is 11. What is the number?

Dec 11, 2016

The number is 21

#### Explanation:

Quotient is the answer of a division

Breaking the question down into its component parts:

Four more than:" "->?+4

the quotient of:" "->?/?+4

a number:" "->x/?+4

and 3;$\text{ } \to \frac{x}{3} + 4$

is:" "->x/3+4=?

11:$\text{ } \to \frac{x}{3} + 4 = 11$
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Subtract 4 from both sides

$\frac{x}{3} = 7$

Multiply both si9des by 3

$x = 21$