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# What is the product of positive integers r and s ?

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Intern
Joined: 24 Nov 2012
Posts: 23
What is the product of positive integers r and s ?  [#permalink]

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29 Nov 2012, 09:18
1
1
00:00

Difficulty:

45% (medium)

Question Stats:

61% (01:38) correct 39% (01:27) wrong based on 58 sessions

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What is the product of positive integers r and s ?

(1) 14r + s = 86
(2) s < 14
Math Expert
Joined: 02 Sep 2009
Posts: 52164
Re: What is the product of positive integers r and s ?  [#permalink]

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29 Nov 2012, 09:58
What is the product of positive integers r and s ?

Notice that we are told that r and s are positive integers.

(1) 14r + s = 86. Many combinations are possible:
r=6 and s=2;
r=5 and s=16;
r=4 and s=30;
...
r=1 and s=72.

Not sufficient. (Notice that r cannot be more that 6, since in this case s must be a negative number, thus s cannot be less than 2).

(2) s < 14. Clearly insufficient.

(1)+(2) Since from (2) s<14, then s=2 and r=6. Sufficient.

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Re: What is the product of positive integers r and s ?  [#permalink]

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29 Mar 2017, 04:56
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Re: What is the product of positive integers r and s ? &nbs [#permalink] 29 Mar 2017, 04:56
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