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If the sum of x and 20 is 8 more than the difference of 10 and y, what

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If the sum of x and 20 is 8 more than the difference of 10 and y, what  [#permalink]

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New post 14 Aug 2017, 04:42
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A
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E

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Question Stats:

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If the sum of x and 20 is 8 more than the difference of 10 and y, what is the value of x + y?

(A) –2
(B) 8
(C) 9
(D) 28
(E) not enough information

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Re: If the sum of x and 20 is 8 more than the difference of 10 and y, what  [#permalink]

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New post 14 Aug 2017, 05:17
SajjadAhmad wrote:
If the sum of x and 20 is 8 more than the difference of 10 and y, what is the value of x + y?

(A) –2
(B) 8
(C) 9
(D) 28
(E) not enough information


\(x + 20 = (10-y) + 8\)

\(x + 20 -8 = 10 - y\)

\(x + 12 = 10 -y\)

\(x + y = 10-12\)

\(x + y = -2\)

Answer (A)...

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Re: If the sum of x and 20 is 8 more than the difference of 10 and y, what  [#permalink]

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New post 14 Aug 2017, 09:41
Translating the word problem into equation,
we have x + 20 = (10 - y) + 8
x + 20 = 18 - y
x + y = 18 - 20
Therefore the value of x + y is -2(Option A)
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Re: If the sum of x and 20 is 8 more than the difference of 10 and y, what  [#permalink]

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New post 18 Aug 2017, 06:21
Hi,

How can we know that "the difference of 10 and y" is (10 - y) but not (y - 10)?
I chose E and it turns out to be wrong.
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Re: If the sum of x and 20 is 8 more than the difference of 10 and y, what  [#permalink]

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New post 18 Aug 2017, 06:37
1
SajjadAhmad wrote:
If the sum of x and 20 is 8 more than the difference of 10 and y, what is the value of x + y?

(A) –2
(B) 8
(C) 9
(D) 28
(E) not enough information



Hi..
There can be two equations..
X+20=10-y+8......X+y=-2..
But second equation is x+20=y-10+8.....X-y=-22..

So we are not sure if 10 is GREATER than y or vice versa..
So ans is E..

OA given is wrong
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Re: If the sum of x and 20 is 8 more than the difference of 10 and y, what  [#permalink]

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New post 18 Aug 2017, 09:04
SajjadAhmad wrote:
If the sum of x and 20 is 8 more than the difference of 10 and y, what is the value of x + y?

(A) –2
(B) 8
(C) 9
(D) 28
(E) not enough information


We can create the following equation:

x + 20 = 8 + 10 - y

x + y = - 2

Answer: A
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Re: If the sum of x and 20 is 8 more than the difference of 10 and y, what   [#permalink] 18 Aug 2017, 09:04
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