A board 39 feet long is cut into 2 parts such that the length of the larger piece is 3 feet more than twice the length of the smaller piece. Find the length of each part.
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Length of the board = 39 ft
Length of the larger piece is 3 more than twice the smaller piece.
Length of both pieces.
Let the length of the smaller piece is L.
Then the length of the larger piece is 2L+3
But we know that the length of both pieces is 39 ft.
==> 39= L + (2L+3)
==> 39 = L +2L + 3
==> 39 = 3L + 3
Now we will solve for L.
==> 3L + 3 = 39
We will subtract 3 from both sides:
==> 3L = 39-3
==> 3L= 36
Now we will divide by 3.
==> L = 36/3 = 12
Then, the length of the small piece is L= 12 and the length of the larger piece is 2L+3 = 2*12+3= 27
To check we will add both pieces we get 12 + 27= 39
Then, the length of the smaller piece is 12 ft, and the length of the larger piece is 27 ft.
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