SOLUTION: A board, 43 cm long is cut into three pieces such that the second piece is twice as long as the first and the third is 3 cm longer than the second.

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Question 887574: A board, 43 cm long is cut into three pieces such that the second piece is twice as long as the first and the third is 3 cm longer than the second.
Answer by 2897696(96) About Me  (Show Source):
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first piece of wood:x
second piece of wood: 2x
third piece of wood: 2x+3
equation:
x+2x+2x+3=43
5x+3=43
5x=40
x=8 cm
the first piece is 8cm
2x
2*(8)
16 cm (second piece)
2(x)+3
2(8)+3
19 cm (third piece)
ANSWER:
first piece : 8cm
second piece: 16cm
third piece: 19cm