A 26-feet board is cut into 3 lengths where the first length is x, the second piece is 3 feet less than twice the first and the

Question

1 year ago

15

third piece is 2 feet more than the second. Find the length of the shortest piece.

1 answer:

Gnom [1K] · Answer 1 · 2023-06-26T17:57:54+03:00

We now have three equations, so we can solve them.

Let's define the length of the 3 boards in terms of x:

F=x

S=2x-3

T=2

F+S+T =26

x+2x-3+2 =26

3x =26+1=27

x =27/3 = 9 feet for First section

2x-3 =18-3 = 16 feet = Second

2 = Third

9+16+2 = 27

27 is the length of the shortest piece.

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