Argyle cut a 300-meter cable into two pieces. One piece was 15m longer than twice the length of the other. Find the length of the longer piece.

205 m

let x be the length of one piece then the other piece is 2x + 15

The sum of the 2 pieces equals 300 m, hence

x + 2x + 15 = 300

3x + 15 = 300 (subtract 15 from both sides)

3x = 285 (divide both sides by 3)

x = 95

length of longer piece = (2 * 95) + 15 = 190 + 15 = 205 m