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A wooden rod is cut into two pieces. What is the length of the longer

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A wooden rod is cut into two pieces. What is the length of the longer  [#permalink]

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New post Updated on: 30 Sep 2017, 04:59
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A wooden rod is cut into two pieces. What is the length of the longer piece?

(1) One of the pieces is 20 inches longer than the other piece.

(2) The length of the shorter piece is \(\frac{1}{3}\) the length of the longer piece

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Originally posted by adkikani on 30 Sep 2017, 04:47.
Last edited by Bunuel on 30 Sep 2017, 04:59, edited 3 times in total.
Renamed the topic and edited the question.
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A wooden rod is cut into two pieces. What is the length of the longer  [#permalink]

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New post 30 Sep 2017, 04:57
A wooden rod is cut into two pieces. What is the length of the longer piece?

Let the length of the shorter and longer pieces be x and y, respectively.

(1) One of the pieces is 20 inches longer than the other piece --> x + 20 = y. Not sufficient.

(2) The length of the shorter piece is \(\frac{1}{3}\) the length of the longer piece --> x = y/3. Not sufficient.

(1)+(2) We have two distinct linear equations with two unknowns, hence we can solve for both. Sufficient.

Answer: C.
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Re: A wooden rod is cut into two pieces. What is the length of the longer  [#permalink]

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New post 30 Sep 2017, 08:31
A wooden rod is cut into two pieces. What is the length of the longer piece?
=> Longer piece = L
shorter piece = S


(1) One of the pieces is 20 inches longer than the other piece.
L = S+20 inch
as we don't know full length of wooden rod. => we don't know S to calculate L
Insufficient

(2) The length of the shorter piece is 1/3 the length of the longer piece
S= L/3
as we don't know full length of wooden rod. => we don't know S to calculate L
Insufficient

1+2
L = S+20 and L=S= L/3
=> L= L/3 +20 => 2L/3 = 20 => L = 30
Sufficient

Answer: C
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Re: A wooden rod is cut into two pieces. What is the length of the longer  [#permalink]

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New post 12 Jan 2019, 10:34
Statement 1 gives you the lengths with a variable: x and x+20. With statement 2 you can join them and find X. So letter C.
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Re: A wooden rod is cut into two pieces. What is the length of the longer   [#permalink] 12 Jan 2019, 10:34
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A wooden rod is cut into two pieces. What is the length of the longer

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