# If 3 is added to a number and the sum is tripled the result is 11 more than the number how do you find the number?

Nov 24, 2016

The number is $1$.

#### Explanation:

We shall consider the number as $x$. We know that:

$3 \left(x + 3\right) = x + 11$

Open the brackets and simplify.

$3 x + 9 = x + 11$

Subtract $x$ from both sides.

$2 x + 9 = 11$

Subtract $9$ from both sides.

$2 x = 2$

Divide both sides by $2$.

$x = 1$