Question

A wire 45 meters long is cut into two pieces, One piece is 5 meters longer than the other. What is the length of the two pieces? Create an equation and solve .

Answer 1

Given:

A wire 45 meters long is cut into two pieces

One piece is 5 meters longer than the other.

To find:

The length of the two pieces.

Solution:

Let length of one piece be x.

One piece is 5 meters longer than the other. So,

Length of another piece = x+5

Total length of wire is 45. So,

`x+(x+5)=45`

`2x+5=45`

Subtract 5 from both sides.

`2x=45-5`

`2x=40`

Divide both sides by 2.

`x=(40)/(2)`

`x=20`

Now,

Length of one piece = 20 meters

Length of another piece = 20 + 5

= 25 meters

Therefore, the length of two pieces are 20 and 25 meters.