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19 February, 19:43

A 30 inch board is to be cut into three pieces? a 30 inch board is to be cut into three pieces so that the second piece is 4 times as long as the first piece and the third piece is 5 times as long as the first piece. if x represents the length of the first piece, find the length of all three pieces.

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  1. 19 February, 21:29
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    Total length of the board = 30 inch

    Length of,

    - - First piece = x

    - - Second piece = 4x

    - - Third piece = 5x

    5x + 4x + x = 30

    10x = 30

    x = 3

    Therefore, the lengths of:

    - - First piece = 3 inch

    - - Second piece = 4*3 = 12 inch

    - - Third piece = 5*3 = 15 inch
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