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# What is the ratio of m to n? (1) If m is decreased by 3

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Director
Joined: 07 Jun 2004
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Location: PA
What is the ratio of m to n? (1) If m is decreased by 3 [#permalink]

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21 Nov 2010, 03:34
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Difficulty:

85% (hard)

Question Stats:

33% (00:52) correct 67% (01:44) wrong based on 33 sessions

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Question:
What is the ratio of m to n?

(1) If m is decreased by 3 the ratio of m to n becomes 3 : 10.
(2) If m + n is increased by 3 the ratio of m to n becomes 7 to 12.

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21 Nov 2010, 11:36
rxs0005 wrote:
Question:
What is the ratio of m to n?

(1) If m is decreased by 3 the ratio of m to n becomes 3 : 10.
(2) If m + n is increased by 3 the ratio of m to n becomes 7 to 12.

Statement 1: (m - 3)/n = 3/10. Not sufficient.

Statement 2: Let m' and n' be new values of m and n. Then, m' = 7x and n' = 12x since they are in the ratio 7:12.
7x + 12x = m + n + 3

Two equations, three variables. You cannot solve for m/n. You can get the ratios using fewer equations than the number of variables but here since constant terms are being added/subtracted, getting a ratio isn't possible.

If you would like to be sure, substitute for n from equation 1 into equation 2.
n = 10/3 (m - 3)
19x = m + 10/3 (m - 3) + 3
3/13 (19x + 7) = m
Similarly you will get n in terms of x and constants. You cannot cancel out x to get m/n.

e.g. this will work for m = 9 and n = 20
Also for m = 63, n = 200
Both statements are not sufficient. Answer (E).
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21 Nov 2010, 12:13
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rxs0005 wrote:
Question:
What is the ratio of m to n?

(1) If m is decreased by 3 the ratio of m to n becomes 3 : 10.
(2) If m + n is increased by 3 the ratio of m to n becomes 7 to 12.

1)If m is decreased by 3, then the ratio m:n results in 10 m - 3n = 30 ,one need either the value of m or n to find the ratio m:n
2)if m + n is increased by 3 , we dont know what m or n is increased and by what value 1, 2, 3?
If we combine both,
10 m - 3n =48 , again we need either the value of m or n , so E
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Re: What is the ratio of m to n? (1) If m is decreased by 3 [#permalink]

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29 Sep 2017, 23:58
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: What is the ratio of m to n? (1) If m is decreased by 3   [#permalink] 29 Sep 2017, 23:58
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