A 124 m piece of canvas must be cut into two parts so that the length of one part is 12 m

A 124 m piece of canvas must be cut into two parts so that the length of one part is 12 m longer than the other. How many meters of canvas will there be in each part?

1) Let x meters be the length of one part.

2) Then (x + 12) meters is the length of the second part.

3) (x + (x + 12)) meters – the total length of the canvas.

4) according to the condition of the problem, the length of the web is 124 m, so we write the equality:

x + (x + 12) = 124.

5) Let’s solve the equation:

x + x + 12 = 124;

2x + 12 = 124;

2x = 124 – 12;

2x = 112;

x = 112: 2;

x = 56.

6) We find that x = 56 m – the length of one piece of fabric.

7) Calculate the length of the second cut:

56 + 12 = 68 m.

Answer: 56 and 68 meters.