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# If | p - 5 | = 9 and | 2q - 7 | = 5 what is the minimum

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Director
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If | p - 5 | = 9 and | 2q - 7 | = 5 what is the minimum [#permalink]

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26 Jan 2005, 16:48
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If | p - 5 | = 9 and | 2q - 7 | = 5

what is the minimum possible value of p/q
Current Student
Joined: 28 Dec 2004
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Schools: Wharton'11 HBS'12
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26 Jan 2005, 18:17
in order for P/Q to be as big as possible P has to be as big as possible and Q as small as possible....

so lets P=14 (14-5)
q=1 therefor 14 is the max possible value..
CIO
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26 Jan 2005, 18:32
rxs0005 wrote:
If | p - 5 | = 9 and | 2q - 7 | = 5

what is the minimum possible value of p/q

whenever you have absolute value, just rewrite the equation twice, witht the second one negative.

For example, the first one is:

p-5=9 and p-5=-9

solve, and you get p = 14 or -4

Same thing works for 2q-7, and q would equal either 6 or 1.

Put them together, and 14 is the biggest number: 14/1
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26 Jan 2005, 18:38
I think the question asked for minimum poss value and not maximum.
Acc to the question , the answer should be -2/3.
Plz confirm the OA or the right question.
CIO
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26 Jan 2005, 18:40
Vijo wrote:
I think the question asked for minimum poss value and not maximum.
Acc to the question , the answer should be -2/3.
Plz confirm the OA or the right question.

SVP
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26 Jan 2005, 21:11
q can't be negative, so p has to be negative to make the smallest p/q.
p=-4, q=1. p/q=-4.
26 Jan 2005, 21:11
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