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# If m - 4 is 7 more than n, then m + 9 is how much more than n + 2?

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Joined: 02 Sep 2009
Posts: 59573
If m - 4 is 7 more than n, then m + 9 is how much more than n + 2?  [#permalink]

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06 Feb 2017, 07:53
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5% (low)

Question Stats:

90% (01:12) correct 10% (01:44) wrong based on 50 sessions

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If m - 4 is 7 more than n, then m + 9 is how much more than n + 2?

A. 5
B. 11
C. 13
D. 15
E. 18
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Re: If m - 4 is 7 more than n, then m + 9 is how much more than n + 2?  [#permalink]

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06 Feb 2017, 08:11
1
Bunuel wrote:
If m - 4 is 7 more than n, then m + 9 is how much more than n + 2?

A. 5
B. 11
C. 13
D. 15
E. 18

m-4 = 7+n

i.e. m = 11+n

m+9 = 20+n

i.e. m+9 = 18+(n+2)

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Re: If m - 4 is 7 more than n, then m + 9 is how much more than n + 2?  [#permalink]

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06 Feb 2017, 14:51
If m - 4 is 7 more than n, then m + 9 is how much more than n + 2?

The above can be written as below
m - 4 = n + 7

Add 4 to both sides and you get
m = n + 2 + 5 + 4

Simplify the above
m = n + 2 + 9

m + 9 = n + 2 + 9 + 9

There m+9 is 18 more than n+2

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Joined: 16 Sep 2016
Posts: 3
Re: If m - 4 is 7 more than n, then m + 9 is how much more than n + 2?  [#permalink]

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08 Feb 2017, 15:16
GIVEN M-4 = 7+ N => M-N = 11 --(1)
Let x be the value by which N+2 WILL BE MORE THAN M+9
M+9 = x + (N+2) => M-N+7 =x --(2)
Substitute (1) in (2)
x = 11+7 = 18 (Ans E)
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Re: If m - 4 is 7 more than n, then m + 9 is how much more than n + 2?  [#permalink]

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08 Feb 2017, 19:50
Bunuel wrote:
If m - 4 is 7 more than n, then m + 9 is how much more than n + 2?

A. 5
B. 11
C. 13
D. 15
E. 18

We are given that m - 4 is 7 more than n. Thus:

m - 4 = n + 7

m = n + 11

We need to determine how much more m + 9 is than n + 2, i.e., we need to determine the value of:

m + 9 - (n + 2) = ?

Since m = n + 11, we can substitute n + 11 for m in the above expression and we have:

n + 11 + 9 - (n + 2) = ?

n + 20 - n - 2 = 18

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Re: If m - 4 is 7 more than n, then m + 9 is how much more than n + 2?  [#permalink]

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24 Nov 2019, 21:05
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Re: If m - 4 is 7 more than n, then m + 9 is how much more than n + 2?   [#permalink] 24 Nov 2019, 21:05
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