SOLUTION: a log is cut into two wherein one part is 9cm longer than the other. If the ratio of the longer part to the shorter is 5:4, how long each?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: a log is cut into two wherein one part is 9cm longer than the other. If the ratio of the longer part to the shorter is 5:4, how long each?      Log On


   

Question 1190829: a log is cut into two wherein one part is 9cm longer than the other. If the ratio of the longer part to the shorter is 5:4, how long each?
Answer by ikleyn(52816) About Me  (Show Source):
You can put this solution on YOUR website!
.

The parts are 5x and 4x, and the difference is 9 cm


    5x - 4x = 9  cm;

       x    = 9  cm.


The shorter part is 4x = 4*9 = 36 cm;

The longer  part is 5x = 5*9 = 45 cm.

Solved.