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In a certain two-digit integer, the ratio of the units digit

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In a certain two-digit integer, the ratio of the units digit [#permalink] New post 07 Jan 2013, 21:46
00:00
A
B
C
D
E

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Question Stats:

77% (01:47) correct 22% (00:56) wrong based on 22 sessions
In a certain two-digit integer, the ratio of the units digit to the tens digit is 2 to 3. What is the integer?


(1) The tens digit is 3 more than the units digit.

(2) The product of the two digits is 54.
[Reveal] Spoiler: OA
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Re: In a certain two-digit integer, the ratio of the units digit [#permalink] New post 07 Jan 2013, 21:54
(1)I get more than one possibilities therefore I think BCE

(2) i get 96 so B is a possibility


so I think the answer is C because 96 appears in both but OG says D?


How is statement one sufficient when more than once possibility can be derived from stmt 1
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Re: In a certain two-digit integer, the ratio of the units digit [#permalink] New post 07 Jan 2013, 22:13
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There are only three possibilities with ratio 3:2 -> 32, 64, and 96.

(1) The tens digit is 3 more than the units digit.
SUFFICIENT: Only number that satisfies is 96. (6+3=9)

(2) The product of the two digits is 54.
SUFFICIENT: Only number that satisfies is 96. (9 * 6=54)

Hence (D) is the answer.
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Re: In a certain two-digit integer, the ratio of the units digit [#permalink] New post 07 Jan 2013, 22:18
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jsphcal wrote:
In a certain two-digit integer, the ratio of the units digit to the tens digit is 2 to 3. What is the integer?


(1) The tens digit is 3 more than the units digit.

(2) The product of the two digits is 54.


The possible integers are 32, 64 and 96.

1) 3-2 = 1, 6-4 = 2, 9-6 = 3. Only 96 satisfies the statement. Sufficient.

2) 3*2 = 6, 6*4 = 24, 9*6 = 54. Only 96 satisfies the statement. Sufficient.

Answer is hence D.
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Re: In a certain two-digit integer, the ratio of the units digit   [#permalink] 07 Jan 2013, 22:18
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