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what is the tens digit of k?

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what is the tens digit of k? [#permalink] New post 09 Aug 2009, 11:22
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If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k?
(1) The tens digit of k + 9 is 3.
(2) The tens digit of k + 4 is 2.

please show your solving.

thanks!
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Re: what is the tens digit of k? [#permalink] New post 09 Aug 2009, 11:35
tarek99 wrote:
If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k?
(1) The tens digit of k + 9 is 3.
(2) The tens digit of k + 4 is 2.

please show your solving.

thanks!



The answer is A.

Consider Statement 1:pick numbers to resolve it, if unit digit of k takes from 1 to 9, then adding nine would increase the tens digit by 1, hence it should be 2..sufficient to answer the question

Consider statement 2: if unit digit takes anything between 1 t0 5 , then on adding 4 tens digit remains the same. so in this case it would be 2, but if unit digit take from 6 to 9, tens digit would increase by 1, so this case its 1.

hence statement 1 alone is sufficient but not 2
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Re: what is the tens digit of k? [#permalink] New post 09 Aug 2009, 23:40
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Lets say k=x,y,z.

All of x, y and z are in the range of 1-9 (Given). Find Tens Digit ie y.

Stmt 1 Says: K + 9 = gives a number with 3 as the tens digit.
With that we can safely say that the Tens digit of k has to be 2. For eg let k be 121. Adding 9 will give 130. Similiarly, if k = 129, adding 9 will give 138. If we have k = 111, adding 9 will give 120 which goes against the stmt.

Stmt 2 : Not Suff as explained by alwynjoseph.

Hence, A.
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Re: what is the tens digit of k? [#permalink] New post 09 Aug 2009, 23:45
[quote="tarek99"]If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k?
(1) The tens digit of k + 9 is 3.
(2) The tens digit of k + 4 is 2.


k= xyz , z is not 0 what is y??

from 1
xyz
+ 009
-------
z is not 0 thus surely we carried one to add to y thus y = 2...suff

from 2
xyz
+ 004
-------

if 0<z<6 y = 3 if 6<=z<=9 thus y = 2 .............insuff

A, hi Tarek , i think it is easier to visualize it this way, hope it helps.
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Re: what is the tens digit of k? [#permalink] New post 08 Sep 2009, 11:00
There's something wrong with the way this question is worded. If you add 9 to one digit, you cannot get 3. The question should say

(1) When 9 is added to the integer k = 3.
(2) When 4 is added to the integer k = 2.
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Re: what is the tens digit of k? [#permalink] New post 08 Sep 2009, 11:14
mendelay wrote:
There's something wrong with the way this question is worded. If you add 9 to one digit, you cannot get 3. The question should say

(1) When 9 is added to the integer k = 3.
(2) When 4 is added to the integer k = 2.


I think the question is correctly worded. We need to find out the tens digit of a 3 digit integer K, having a non-zero units digit. If we add 9 to integer K (3 digit, non-zero units digit), then the tens digit of K become 3. Whereas if we add 4 to integer K (3 digit, non-zero units digit), then the tens digit of K become 2.
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Re: what is the tens digit of k? [#permalink] New post 09 Dec 2009, 10:06
Consider

x y z
+ + 9

Minimum value of z is 1. Maximum value of z is 9
In both cases if 9 is added to z, it will produce 1 as carry over to y (tens digit)
If y becomes 3 after the addition, then it was 2 before the addition

Statement 1-----sufficient

Statement 2 is clearly insufficient, as we could have a carry from the Units digit and not have a carry (with the addition of 4). Each will give different result

Hope this is simply put
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Re: what is the tens digit of k? [#permalink] New post 13 Aug 2011, 08:20
The question is fine I think.

Going by stmt 1: k+9 giving 3 in the tenths place would mean any number with two in the tenths place can give this. Sufficient.
Going by stmt 2: k+4 giving 2 in tenths place would mean any number between 1 and 5 in the hundreds place would return the same number in the tenths place. Any number between 6 and 9 in the hundreds place would return the next value. Therefore insufficient.
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Re: what is the tens digit of k? [#permalink] New post 14 Aug 2011, 04:47
Hope this helps.
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Re: what is the tens digit of k? [#permalink] New post 14 Aug 2011, 04:53
i think A is the answer.
if the units digit is non -zero, then no matter what it is, if u plus 9 , u will get 1. 1 +x =3 then the tens digit is 2
st2 cant help us to determine the tens digit
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Re: what is the tens digit of k?   [#permalink] 14 Aug 2011, 04:53
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