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# What is the value of the two digit number x ? (1) The sum of two digi

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Math Expert
Joined: 02 Sep 2009
Posts: 48037
What is the value of the two digit number x ? (1) The sum of two digi  [#permalink]

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15 Jul 2018, 21:22
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Difficulty:

45% (medium)

Question Stats:

50% (00:43) correct 50% (00:51) wrong based on 41 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.

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What is the value of the two digit number x ? (1) The sum of two digi  [#permalink]

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15 Jul 2018, 21:46
To the value of the two digit number x

Let x = ab where a represents the tens digit and b represents the units digit

x is a two digit number = > a $$\neq$$ 0

Statement 1

The sum of two digits is 4.

=> a + b = 4

'x' can be 13 or 22, 40 or 31

Statement 1 is not sufficient

Statement 2

The difference between the two digits is 2 => |a-b| = 2

=> 'x' can be 53 or 35 or 97 etc

Statement 2 is not sufficient

Combining statements 1 and 2

From statement 1 we have possible values of 'x' 13 or 22, 40 or 31

=> 'x' can be 13 or 31

Statement 1 and 2 together are insufficient

Hence option E
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Re: What is the value of the two digit number x ? (1) The sum of two digi  [#permalink]

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16 Jul 2018, 01:01
Bunuel 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.

Statement-1:-
Possible cased of two digits numbers x:- 13, 22, 31, and 40.
Insufficient.

Statement-2:-
Possible cased of two digits numbers x:- 13, 31,24,42,35,53 etc. (Tens digit-units digit=2 or Units digit-Tens digit=2)
Insufficient.

(1)+(2),
Possible cases: 13 & 31.
We have obtained more than one values of x.
Insufficient.

Ans. (E)
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Re: What is the value of the two digit number x ? (1) The sum of two digi &nbs [#permalink] 16 Jul 2018, 01:01
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