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Math Expert V
Joined: 02 Sep 2009
Posts: 58464
If the units’ digit of a three-digit positive number N is between 1 to  [#permalink]

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Difficulty:   45% (medium)

Question Stats: 67% (01:39) correct 33% (01:43) wrong based on 94 sessions

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If the units’ digit of a three-digit positive number N is between 1 to 9, inclusive, what is the tens’ digit of the number?

(1) The tens’ digit of (N + 9) is 4
(2) The tens’ digit of (N + 4) is 3

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Re: If the units’ digit of a three-digit positive number N is between 1 to  [#permalink]

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Bunuel wrote:
If the units’ digit of a three-digit positive number N is between 1 to 9, inclusive, what is the tens’ digit of the number?

(1) The tens’ digit of (N + 9) is 4
(2) The tens’ digit of (N + 4) is 3

(1) The tens’ digit of (N + 9) is 4. So N+9 makes a tens digit of 4. Let's say the hundreds digit is 1 (It doesn't matter).

N could be 131 through 139. Therefore we know that the tens digit is 3. Note that it can not be 140 because although 140+9=149, the question states that the unit's digit can not be 0.

Sufficient

(2) The tens’ digit of (N + 4) is 3. So N+4 makes a tense digit of 4.

N could be 127 through 135. So the tens digit could be 2 or 3.

Not Sufficient

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Re: If the units’ digit of a three-digit positive number N is between 1 to  [#permalink]

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We know from statement 1)

N+ 9 has a tens digit of 4

Since we know the units digit can be anything from 1 to 9, 131 + 9 = 140 which satisfies the statement and would put the N value in the range [131,139]

A is sufficient

Try statement 2)

It says N + 4 will yield a tens of 3
127 + 4 = 131
Also 131 + 4 = 135 tens of 3

So the n tens can be 2 or 3

B is insufficient.

Posted from my mobile device Re: If the units’ digit of a three-digit positive number N is between 1 to   [#permalink] 27 Sep 2018, 10:21
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