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jayanti: Senior | Next Rank: 100 Posts; Posts: 72; Joined: Tue Apr 19, 2011 6:58 amFollowed by: 6 members

by jayanti » Sun Aug 07, 2011 11:41 pm

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

5
11
13
15
18

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Source: Beat The GMAT — Problem Solving | Sun Aug 07, 2011 11:41 pm

gmatboost: Master | Next Rank: 500 Posts; Posts: 312; Joined: Tue Aug 02, 2011 3:16 pmFollowed by: 33 members; Location: New York City; Thanked: 130 times; GMAT Score:780

by gmatboost » Sun Aug 07, 2011 11:48 pm

Translate each statement to math. Remember:
more means +
is means =
how much tells us to use a variable

Question:
(m + 9) = x + (n + 2) -> LOOKING FOR X
x = (m + 9) - (n + 2)
[spoiler]x = m - n + 7[/spoiler]
So we need to know [spoiler](m - n)[/spoiler] to get x

Given:
(m - 4) = 7 + n
m = 11 + n
[spoiler]m - n = 11[/spoiler]

So, x = m - n + 7
[spoiler]x = 11 + 7 = 18[/spoiler]

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Sun Aug 07, 2011 11:49 pm

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

(m + 9) - (n + 2) = (m - n + 7)
Hence, (m + 9) is (m - n + 7) more than (n + 2)

Now, (m - 4) is 7 more than n ---> (m - 4) = (n + 7) ---> (m - n) = 11

Therefore, (m - n + 7) = 11 + 7 = 18

Hence, (m + 9) is 18 more than (n + 2)

The correct answer is E.

Last edited by Anurag@Gurome on Mon Aug 08, 2011 12:06 am, edited 1 time in total.

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Sun Aug 07, 2011 11:52 pm

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

Another method:
We can pick a value for either m or n. And solve accordingly.
For example, say n = 0.
Hence, (m - 4) is 7 more than n means m = (7 + 4 + 0) = 11

Thus, (m + 9) = 20 and (n + 2) = 2
20 is 18 more than 2.

The correct answer is E.

Last edited by Anurag@Gurome on Mon Aug 08, 2011 12:07 am, edited 1 time in total.

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gmatboost: Master | Next Rank: 500 Posts; Posts: 312; Joined: Tue Aug 02, 2011 3:16 pmFollowed by: 33 members; Location: New York City; Thanked: 130 times; GMAT Score:780

by gmatboost » Sun Aug 07, 2011 11:56 pm

I think Anurag has made a slight typo, everything he says in both posts is correct but the answer should be E

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jayanti: Senior | Next Rank: 100 Posts; Posts: 72; Joined: Tue Apr 19, 2011 6:58 amFollowed by: 6 members

by jayanti » Mon Aug 08, 2011 12:08 am

Thanks a ton!!!!!!!:)

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Mon Aug 08, 2011 12:09 am

Thanks Greg!
Edited the typos.

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mk101: Senior | Next Rank: 100 Posts; Posts: 58; Joined: Fri Oct 22, 2010 1:05 am; Location: Bhopal; Thanked: 1 times; GMAT Score:710

by mk101 » Mon Aug 08, 2011 8:06 am

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

5
11
13
15
18

if (m-4) is 7 more than n, m is 11 more than n.
Therefore m+ 9 is 20 more than n and 18 more than n+2
ans E

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