What is the value of the two digit number? : GMAT Data Sufficiency (DS)
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# What is the value of the two digit number?

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Manager
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What is the value of the two digit number? [#permalink]

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03 Apr 2012, 00:44
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Difficulty:

15% (low)

Question Stats:

68% (01:38) correct 32% (00:24) wrong based on 81 sessions

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What is the value of the two digit number x ?

(1) The sum of two digits is 4.

(2) The difference between the two digits is 2.

I was also a little confused by this.
[Reveal] Spoiler: OA
SVP
Joined: 16 Nov 2010
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Re: What is the value of the two digit number? [#permalink]

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03 Apr 2012, 00:50
What is the value of the two digit number x ?

1. The sum of two digits is 4.

The number can be 31, 13, 40, 22, so insufficient.

2. The difference between the two digits is 2.

The number can be 31, 13, so insufficient.

(1) + (2)

The number can be 31, 13, so insufficient.

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Manager
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Re: What is the value of the two digit number? [#permalink]

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03 Apr 2012, 00:53
I think the issue at hand here is that we cannot tell which digit comes first.

Here is my explanation:

Digit1 = a
Digit2=b

so x = 10a + b

1 )a + b = 4 insufficient on own
2) a - b = 2 insufficient on own

1+ 2: Together:
Solving for a & b,
a = 3 and b = 1

However the issue now is:

Is the x = 31 or 13? because in both cases we can get a + b = 4 and difference between digits = 2

Thus the data provided is insufficent and answer is E
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Re: What is the value of the two digit number? [#permalink]

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03 Apr 2012, 02:05
Let the two digit number be ab

1) a+b=4
INSUFFICIENT

2) |a-b|=2
=>a-b=+2

INSUFFICIENT

1& 2

a=3,1
b=1,3
hence two number we are getting 31 and 13 but we cant speak of anything specific between the two.

hence INSUFFICIENT

E
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Re: What is the value of the two digit number? [#permalink]

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17 Jun 2013, 06:50
dzodzo85 wrote:
What is the value of the two digit number x ?

(1) The sum of two digits is 4.

(2) The difference between the two digits is 2.

I was also a little confused by this.

here you go, s1 and s2 are not sufficient straight way, so now check with s1+s2 then u get 31 or 13 so even then NS
Re: What is the value of the two digit number?   [#permalink] 17 Jun 2013, 06:50
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