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# What is the value of the two digit number?

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Manager
Joined: 06 Jul 2011
Posts: 213

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Location: Accra, Ghana
What is the value of the two digit number? [#permalink]

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03 Apr 2012, 01:44
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25% (medium)

Question Stats:

64% (00:37) correct 36% (00:27) wrong based on 99 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

Kudos [?]: 71 [0], given: 39

TOEFL Forum Moderator
Joined: 16 Nov 2010
Posts: 1602

Kudos [?]: 600 [0], given: 40

Location: United States (IN)
Concentration: Strategy, Technology
Re: What is the value of the two digit number? [#permalink]

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03 Apr 2012, 01:50
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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Kudos [?]: 600 [0], given: 40

Manager
Joined: 22 Feb 2012
Posts: 93

Kudos [?]: 25 [0], given: 25

Schools: HBS '16
GMAT 1: 740 Q49 V42
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GPA: 3.47
WE: Corporate Finance (Aerospace and Defense)
Re: What is the value of the two digit number? [#permalink]

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03 Apr 2012, 01:53
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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Senior Manager
Joined: 13 Mar 2012
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Concentration: Operations, Strategy
Re: What is the value of the two digit number? [#permalink]

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03 Apr 2012, 03:05
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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Manager
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Re: What is the value of the two digit number? [#permalink]

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17 Jun 2013, 07:50
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

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

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22 Feb 2017, 03:30
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Re: What is the value of the two digit number?   [#permalink] 22 Feb 2017, 03:30
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