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

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