Aboard, 75 cm long is cut into three pieces such that the second piece is twice as long as the first and the third is 5 cm longer than the second. find the length of the shorter piece.

First piece = x ; second piece = 2x ; third piece = 2x + 5

x + 2x + 2x + 5 = 75

5x + 5 = 75

5x = 70

x = 14 cm < shortest piece

2x = 2(14) = 28 cm  < shorter piece < Answer

2x + 5 = 2(14) = 5 = 33 cm < short piece

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5/12, or 5: 12

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