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How many positive integers· less than 20 are equal to the su [#permalink]
03 Mar 2019, 10:44
Question Stats:
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53% (00:56) wrong based on 13 sessions
How many positive integers· less than 20 are equal to the sum of a positive multiple of 3 and a positive multiple of 4 ? (A) Two (B) Five (C) Seven (D) Ten (E) Nineteen
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Re: How many positive integers· less than 20 are equal to the su [#permalink]
04 Mar 2019, 07:01
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Carcass Array[WROTE]: How many positive integers· less than 20 are equal to the sum of a positive multiple of 3 and a positive multiple of 4 ?
(A) Two
(B) Five
(C) Seven
(D) Ten
(E) Nineteen We can list and count the possible outcomes 3 + 4 = 7 2(3) + 4 = 10 3(3) + 4 = 13 4(3) + 4 = 16 5(3) + 4 = 19 3 + 2(4) = 11 3 + 3(4) = 15 2(3) + 2(4) = 14 2(3) + 3(4) = 18 3(3) + 2(4) = 17 There are 10 possible outcomes. Answer: D Cheers, Brent
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Re: How many positive integers· less than 20 are equal to the su [#permalink]
04 Mar 2019, 10:51
10



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Re: How many positive integers· less than 20 are equal to the su [#permalink]
09 Mar 2019, 12:07
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The positive multiples of 4 less than 20 are:
4, 8, 12, 16
Now we just add 3 to them until we can't anymore without going over 20.
For instance, we keep adding 3 to 4 and get: 7, 10, 13, 16, and 19.
We could also add 3 to 8 and get: 11, 14, and 17.
Next, adding to 12: 15, and 18.
And finally, add 3 to 16 to get 19. But we already counted that one, because 19 = 16 + 3 and 15 + 4.
Add them up and we get 10 in all.



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Re: How many positive integers· less than 20 are equal to the su [#permalink]
07 Nov 2019, 18:51
Hello
Please help me with the following Since we are looking for positive integers· less than 20, that are equal to the sum of a positive multiple of 3 and a positive multiple of 4, Why 18+4 and 3+16 are not considered? The problem do not mention that the sum of the multiples has to be less than 20. Thanks



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Re: How many positive integers· less than 20 are equal to the su [#permalink]
08 Nov 2019, 04:13
How many positive integers less than 20Which means that the numbers MUST be under 20. Also the constraint is that they must be the sum of 3 and 4 or multiple of those but ALWAYS the resulkt to take into account must be under 20, excluded. Regards
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Re: How many positive integers· less than 20 are equal to the su
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08 Nov 2019, 04:13





