# A 17-foot piece of string is cut into two pieces so that the longer piece is 5 feet longer than twice the shorter piece. Find the lengths of both pieces. Who is the length of the shorter piece?

Oct 26, 2016

13 and 4

#### Explanation:

In order to find out the lengths of these two pieces of string, we must set up an algebraic equation.

Let's set the smaller length equal to $x$.

We know that the bigger length is equal to $5$ plus twice the smaller length, $x$, so we can write this length as $2 x + 5$.

We also know that both of these lengths add up to 17, so we can now set up an equation:

$17 = x + 2 x + 5$

$12 = 3 x$

$x = 4$