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# ds

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Manager
Joined: 12 Oct 2008
Posts: 104

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28 Dec 2008, 15:58
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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.

pls explain

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VP
Joined: 05 Jul 2008
Posts: 1402

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28 Dec 2008, 16:21
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linau1982 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.

pls explain

K is 3 digits and K's unit digit is not 0 means {1 through 9 }

When we add any number (1 through 9 } to 9, it will always generate a carry of 1.

A is saying that the tens digit of K+9 is 3. that means tens digit of K is 2 Suff

B is saying that the tens digit of K+4 is 2. If units digit is { 1 through 5} K+4 does not generate carry and the tens digit of k is 2. If K is 6 through 9, K+4 will generate a carry of 1 and tenth digit of k has to be 1. Insuff

Kudos [?]: 437 [1], given: 1

Re: ds   [#permalink] 28 Dec 2008, 16:21
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# ds

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