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# What is the value of the two-digit integer a?

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Math Expert
Joined: 02 Sep 2009
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What is the value of the two-digit integer a?  [#permalink]

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26 Jul 2018, 00:16
00:00

Difficulty:

15% (low)

Question Stats:

88% (00:44) correct 12% (01:10) wrong based on 49 sessions

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What is the value of the two-digit positive integer a?

(1) The sum of the two digits of a is 9.
(2) a is a multiple of 3.

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Re: What is the value of the two-digit integer a?  [#permalink]

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26 Jul 2018, 00:27
(1) The sum of the two digits of a is 9.

3+6 = 9 , 36
6+3 = 9 , 63

Insufficient

(2) a is a multiple of 3.

Same as statement 1

Insufficient

Hence E

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Re: What is the value of the two-digit integer a?  [#permalink]

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26 Jul 2018, 00:28
Let a=10x+y
Then x+y =9, so it can be 54,45 etc.(1) is not suff.
(2) is also not suff if we take examples as above.
Together also it can be 63,36 etc. Which satify thevtwo statements.
E should be the ans.

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Re: What is the value of the two-digit integer a?  [#permalink]

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26 Jul 2018, 00:30
Bunuel wrote:
What is the value of the two-digit positive integer a?

(1) The sum of the two digits of a is 9.
It could be any of value 36, 63, 45, 90, and so on
Insufficient

(2) a is a multiple of 3.
It could be any of value 36, 63, 45, 90, and so on
Insufficient

Combining Both :
No new information
Insufficient

Hence, E.
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Re: What is the value of the two-digit integer a?  [#permalink]

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26 Jul 2018, 01:16
Bunuel wrote:
What is the value of the two-digit positive integer a?

(1) The sum of the two digits of a is 9.
(2) a is a multiple of 3.

we are to find out the positive integer a , a 2 digit integer.

Statement 1:

36 63 72 27 81 18 . NOT Sufficient.

Statement 2:

a is a multiple of 3.

All of the numbers listed above are multiple of 3.

(1 +2) : Still not possible to separate from the among.

Thus the best answer is E.
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Joined: 16 Jul 2018
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What is the value of the two-digit integer a?  [#permalink]

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26 Jul 2018, 08:10
What is the value of the two-digit positive integer a?

Lets evaluate the given information:
(1) The sum of the two digits of a is 9
The digits of all multiples of 9 add up to 9 (18,27,36,45,54,63,72,81,90,99 & even the 3 digit multiples). This statement gives 10 possible outcomes. This is insufficient

(2) a is a multiple of 3.
All multiples of 9 are divisible by 3 atleast twice. This is also insufficient.

Combined (1) & (2); (1) gives 10 possibilities while (2) does not help eliminate any of them. Data is insufficient.

What is the value of the two-digit integer a? &nbs [#permalink] 26 Jul 2018, 08:10
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