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## A wooden board 27 ft long is cut into two pieces so that the longer piece is 8 times as long as the shorter piece. Find the lengths of

Question

A wooden board 27 ft long is cut into two pieces so that the longer piece is 8

times as long as the shorter piece. Find the lengths of the two pieces.

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Mathematics
3 years
2021-07-25T19:38:58+00:00
2021-07-25T19:38:58+00:00 1 Answers
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## Answers ( )

Answer:3ft and 24 ft.

Step-by-step explanation:Let the length of the shorter piece be xThe longer piece is 8 times as long as shorter piece

therefore,

Length of longer piece = 8xTotal length of the wooden board = 27 ft.

27 = longer length + shorter length

27 = x + 8x

27 = 9x

dividing both sided by 9

3 = x

since x was the length of the shorter piece

shorter piece is 3 ft. longand the longer piece was equal to 8x

longer piece is 24 ft. long