SOLUTION: A board, 39 cm long is cut into three pieces such that the second piece is twice as long as the first and the third is 4 cm longer than the second.

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Question 1092025: A board, 39 cm long is cut into three pieces such that the second piece is twice as long as the first and the third is 4 cm longer than the second.
Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x, y, z - first second third
(Exact translation from written description):
system%28y=2x%2Cz=y%2B4%29

Put x and z in terms of y and then avoid using them as variables.
system%28x=y%2F2%2Cz=y%2B4%29


y%2F2%2By%2B%28y%2B4%29=39-----one equation, one variable.
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y%2F2%2B2y%2B4=39
y%2F2%2B2y=35
y%2B4y=70
5y=70
highlight%28y=14%29--------You can use this length to evaluate the other two lengths.



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-
x=y/2,x=7;
z=y+4=14+4=18
check: x+y+z=39?
7+14+18=21+18=39.

Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.
x + 2x + (2x+4) = 39,

5x + 4 = 39,

5x = 39-4 = 35  ====>  x = 7 cm the smallest piece.


Answer.  7 cm,  14 cm  and 18 cm.

Solved.



Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!


A board, 39 cm long is cut into three pieces such that the second piece is twice as long as the first and the third is 4 cm longer than the second.
Let the first piece be F

Then the second is: 2F

Third piece is: 2F + 4

We then get: F+ 2F + 2F + 4 = 39

5F = 35

F, or first piece = highlight_green%28matrix%281%2C4%2C+35%2F5%2C+or%2C+7%2C+cm%29%29

Second piece: highlight_green%28matrix%281%2C4%2C+2%287%29%2C+or%2C+14%2C+cm%29%29

Third piece: highlight_green%28matrix%281%2C4%2C+14+%2B+4%2C+%22=%22%2C+18%2C+cm%29%29

Do you see how SIMPLE this problem is?

Good Lord!! This dude is unbelievable. Why does he always do things in the most complex way. He must enjoy confusing people and himself!

When he's not giving wrong answers, he's using methods that are TOTALLY, TOTALLY UNNECESSARY. Who wants to take 3 hours to do a math 

problem, and involve FRACTIONS when he/she can do it in 1/2/3, or 5 minutes, without FRACTIONS?