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If a and b are positive numbers, is a < c?

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Bunuel
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If a and b are positive numbers, is a < c? [#permalink] New post   31 Oct 2017, 23:07
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If a and b are positive numbers, is a < c?

(1) The ratio of a to b is 4:1, and the ratio of b to c is 2:7.

(2) ab > bc
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D
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If a and b are positive numbers, is a < c? [#permalink] New post   01 Nov 2017, 00:23
Bunuel wrote:
If a and b are positive numbers, is a < c?

(1) The ratio of a to b is 4:1, and the ratio of of to c is 2:7.

(2) ab > bc


IMO D
A:B:C
8:2:7
a>c sufficient

ab>bc
b(a-c) > 0
b is positive so, a-c is positive.
a>c sufficient
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Bunuel
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Re: If a and b are positive numbers, is a < c? [#permalink] New post   01 Nov 2017, 00:25
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TaN1213 wrote:
Bunuel wrote:
If a and b are positive numbers, is a < c?

(1) The ratio of a to b is 4:1, and the ratio of of to c is 2:7.

(2) ab > bc


IMO D
A:B:C
8:2:7
a>c sufficient

ab>bc
b(a-c) > 0
b is positive so, a-c is positive.
a>c sufficient


Yes. (1) reads: The ratio of a to b is 4:1, and the ratio of b to c is 2:7.
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Luckisnoexcuse
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Re: If a and b are positive numbers, is a < c? [#permalink] New post   01 Nov 2017, 00:29
Bunuel wrote:
If a and b are positive numbers, is a < c?

(1) The ratio of a to b is 4:1, and the ratio of b to c is 2:7.

(2) ab > bc


(1) a:b:c :: 8:2:7..sufficient

2) ab >bc
a>c (since b is positive)
sufficient

D
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Re: If a and b are positive numbers, is a < c? [#permalink] New post   08 May 2022, 11:33
Luckisnoexcuse wrote:
Bunuel wrote:
If a and b are positive numbers, is a < c?

(1) The ratio of a to b is 4:1, and the ratio of b to c is 2:7.

(2) ab > bc


(1) a:b:c :: 8:2:7..sufficient

2) ab >bc
a>c (since b is positive)
sufficient

D


Thanks Luckisnoexcuse for explanation. Not quite sure how did you get a=8?
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Re: If a and b are positive numbers, is a < c? [#permalink]
08 May 2022, 11:33
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Bunuel
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