SOLUTION: A 22-foot board is cut into two pieces. Twice the length of the shorter piece is 4 ft less than the length of the longer piece. Find the length of each piece.

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Question 665518: A 22-foot board is cut into two pieces. Twice the length of the shorter piece is 4 ft less than the length of the longer piece. Find the length of each piece.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the length of the shorter piece
+22+-+x+ = the length of the longer piece
given:
+2x+=+22+-+x+-+4+
+2x+%2B+x+=+22+-+4+
+3x+=+18+
+x+=+6+
+22+-+x+=+22+-+6+
+22+-+6+=+16+
The pieces are 6 ft and 16 ft
check:
Twice the shorter piece is 2 x 6 = 12
The longer piece is 4' longer, or 16'
OK