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If the sum of the digits of the positive two-digit number x [#permalink]
31 Jan 2012, 17:15

00:00

A

B

C

D

E

Difficulty:

35% (medium)

Question Stats:

69% (01:48) correct
31% (01:02) wrong based on 71 sessions

If the sum of the digits of the positive two-digit number x is 4, what is the value of x?

(1) x is odd. (2) Twice the value of x is less than 44.

As OA is not given, I have got B. Please can I request to see my solution below and confirm whether its correct or not ?

Statement 1 --> x is ODD so x can be 13 and 31. Two values, therefore insufficient.

Statement 2 --> When x is 13 then twice the value will be 26 and when x is 31 it will be 62. But x cannot be 62 as the statement 2 says Twice the value of x is less than 44. Therefore x has to be 13. Hence B is my answer choice.

Re: 2 digit number x [#permalink]
31 Jan 2012, 17:34

Expert's post

1

This post was BOOKMARKED

enigma123 wrote:

If the sum of the digits of the positive two-digit number x is 4, what is the value of x?

(1) x is odd. (2) Twice the value of x is less than 44.

As OA is not given, I have got B. Please can I request to see my solution below and confirm whether its correct or not ?

Statement 1 --> x is ODD so x can be 13 and 31. Two values, therefore insufficient.

Statement 2 --> When x is 13 then twice the value will be 26 and when x is 31 it will be 62. But x cannot be 62 as the statement 2 says Twice the value of x is less than 44. Therefore x has to be 13. Hence B is my answer choice.

If the sum of the digits of the positive two-digit number x is 4, what is the value of x?

x can take the following 4 values: 13, 31, 22, or 40.

(1) x is odd --> x can still take two values: 13 or 31. Not sufficient.

(2) Twice the value of x is less than 44 --> only 13 satisfies this statement, so x=13. Sufficient.

Answer: B.

P.S. Your solution seems fine, except there are 4 values of x possible not just 2 (though this doesn't affect the answer in our case).

Re: Sum of Digits of Positive 2 two-digit number [#permalink]
28 May 2012, 04:47

Expert's post

aazhar wrote:

OA is B.

Why can't x be 04?

Sum of 0 + 4 = 4 04 is positive

Does GMAT not recognize this style?

We are told that x is a two-digit integer, whereas 04 is just 4 so its a single-digit integer. For a complete solution please refer to the posts above. _________________