SOLUTION: A 49-centimeter-long board is cut into 3 pieces. The longest piece is twice as long as the shortest piece. The other piece is 5 cm longer that the shortest piece. How long is each

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: A 49-centimeter-long board is cut into 3 pieces. The longest piece is twice as long as the shortest piece. The other piece is 5 cm longer that the shortest piece. How long is each       Log On


   

Question 785092: A 49-centimeter-long board is cut into 3 pieces. The longest piece is twice as long as the shortest piece. The other piece is 5 cm longer that the shortest piece. How long is each piece?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
shortest piece = x
longest piece = 2x
other piece = x + 5

x + 2x + (x + 5) = 49
4x + 5 = 49
4x = 44
x = 11

The lengths of the pieces are 11 cm, 22 cm, and 16 cm.