SOLUTION: A 72-inch board is cut into 3 pieces. The second piece is twice the first and the third is 8 inches shorter than the first. Find the numbers.
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Question 748095: A 72-inch board is cut into 3 pieces. The second piece is twice the first and the third is 8 inches shorter than the first. Find the numbers. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A 72-inch board is cut into 3 pieces. The second piece is twice the first and the third is 8 inches shorter than the first. Find the numbers.
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Equations:
a + b + c = 72
b = 2a
c = a-8
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Substitute for "b" and for "c" and solve for "a":
a + (2a) + (a-8) = 72
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4a = 80
a = 20 inches
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b = 2a = 40 inches
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c = a-8 = 12 inches
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Cheers,
Stan H.
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