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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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Senior RC Moderator
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Joined: 02 Nov 2016
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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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14 Aug 2017, 04:42
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76% (00:51) correct 24% (00:54) wrong based on 60 sessions

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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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14 Aug 2017, 05:17
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

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

$$x + 20 -8 = 10 - y$$

$$x + 12 = 10 -y$$

$$x + y = 10-12$$

$$x + y = -2$$

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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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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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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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Posts: 7570
Re: If the sum of x and 20 is 8 more than the difference of 10 and y, what  [#permalink]

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18 Aug 2017, 06:37
1
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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18 Aug 2017, 09:04
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

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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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