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Re: If k is a positive two-digit integer, what is the tens digit of k? [#permalink]
I am bit confused here. lets assume x and y are tens, and unit digit of K. i.e k =xy

1) The sum of the tens digit of k and the units digit of k is 5.

x+y=5

not enough.
2) The tens digit of k + 6 is 3.

then according to this statement it should be x+6=3 cause x is tens digit.

but this is not possible so answer is E.

Help me to understand the second statement. I am strugling with these kind of senteses.
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Re: If k is a positive two-digit integer, what is the tens digit of k? [#permalink]
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shriraj93
I am bit confused here. lets assume x and y are tens, and unit digit of K. i.e k =xy

1) The sum of the tens digit of k and the units digit of k is 5.

x+y=5

not enough.
2) The tens digit of k + 6 is 3.

then according to this statement it should be x+6=3 cause x is tens digit.

but this is not possible so answer is E.

Help me to understand the second statement. I am strugling with these kind of senteses.


you added 6 to the tens digit directly !!

The question says K+6
and k = say 10a+b
from statement 1
a+b=5
possible cases
14
41
23
32
50

from statement 2
pick any of these cases and add 6 to it , this should give tens digit as 3

the only possible value , K =32
as 32 + 6 =38 where tens digit is 3

Therefore C



Hi, I agree with your solution - but from the question stem: it says that "The sum of the tens digit of k and the units digit of k is 5."


so shouldn't the possible cases you mentioned also include 05 ?
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Re: If k is a positive two-digit integer, what is the tens digit of k? [#permalink]
Expert Reply
warriorguy
CounterSniper
shriraj93
I am bit confused here. lets assume x and y are tens, and unit digit of K. i.e k =xy

1) The sum of the tens digit of k and the units digit of k is 5.

x+y=5

not enough.
2) The tens digit of k + 6 is 3.

then according to this statement it should be x+6=3 cause x is tens digit.

but this is not possible so answer is E.

Help me to understand the second statement. I am strugling with these kind of senteses.


you added 6 to the tens digit directly !!

The question says K+6
and k = say 10a+b
from statement 1
a+b=5
possible cases
14
41
23
32
50

from statement 2
pick any of these cases and add 6 to it , this should give tens digit as 3

the only possible value , K =32
as 32 + 6 =38 where tens digit is 3

Therefore C



Hi, I agree with your solution - but from the question stem: it says that "The sum of the tens digit of k and the units digit of k is 5."


so shouldn't the possible cases you mentioned also include 05 ?

Hi,
The reason 05 is not included is that05 is same as 5 and thus is a ONE digit number, BUT we are asking about TWO digit numbers.....

If we are talking of making codes etc then 05 will be a case but not here...
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Re: If k is a positive two-digit integer, what is the tens digit of k? [#permalink]
chetan2u

Hi,
The reason 05 is not included is that05 is same as 5 and thus is a ONE digit number, BUT we are asking about TWO digit numbers.....

If we are talking of making codes etc then 05 will be a case but not here...




oh my! I feel like a dumb f***. Thanks Chetan
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Re: If k is a positive two-digit integer, what is the tens digit of k? [#permalink]
avigutman Bunuel, could you please help me understand the second statement here?

It says that The tens digit of k + 6 is 3. Suppose K = ab, as per my understand it says a+6 = 3. I know I'm missing something here, but not able to figure it out.
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Re: If k is a positive two-digit integer, what is the tens digit of k? [#permalink]
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AnkurGMAT20
avigutman Bunuel, could you please help me understand the second statement here?

It says that The tens digit of k + 6 is 3. Suppose K = ab, as per my understand it says a+6 = 3. I know I'm missing something here, but not able to figure it out.

If the tens digit of k is a, and the units digit of k is b, as you suggested AnkurGMAT20, then the value of k is 10a + b.
In that case, k + 6 = 10a + b + 6
So I think you misinterpreted the statement. It's not saying "(the tens digit of k) + 6 is 3". Rather, it's saying "the tens digit of (k + 6) is 3"
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Re: If k is a positive two-digit integer, what is the tens digit of k? [#permalink]
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Re: If k is a positive two-digit integer, what is the tens digit of k? [#permalink]
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