SOLUTION: A board 1.2 m long is cut into two so that the length of the longer piece is 15cm longer than twice the length of the shorter piece . How long is the shorter piece?

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Question 1021157: A board 1.2 m long is cut into two so that the length of the longer piece is 15cm longer than twice the length of the shorter piece . How long is the shorter piece?
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Make the shorter piece = 'x'
longer piece = 15 + 2x
x + (15 + 2x) = 120 cm
x + 15 + 2x = 120
collect like terms
x + 2x = 120 - 15
3x = 105
x = 35 cm
Shorter piece = 35 cm
Longer piece = 85 cm
Hope this helps :-)