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# The positive integers A, B, A - B, and A + B are all prime numbers. Th

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Math Expert
Joined: 02 Sep 2009
Posts: 59725
The positive integers A, B, A - B, and A + B are all prime numbers. Th  [#permalink]

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19 Mar 2019, 01:10
00:00

Difficulty:

45% (medium)

Question Stats:

58% (01:42) correct 42% (01:37) wrong based on 38 sessions

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The positive integers A, B, A - B, and A + B are all prime numbers. The sum of these four primes is

(A) even
(B) divisible by 3
(C) divisible by 5
(D) divisible by 7
(E) prime

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Re: The positive integers A, B, A - B, and A + B are all prime numbers. Th  [#permalink]

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19 Mar 2019, 05:02
Bunuel wrote:
The positive integers A, B, A - B, and A + B are all prime numbers. The sum of these four primes is

(A) even
(B) divisible by 3
(C) divisible by 5
(D) divisible by 7
(E) prime

A, B, A - B, and A + B are all prime numbers
A=5 and B = 2
so
A-B= 3
A+B=7
SUM OF ALL = 17
IMO E
Re: The positive integers A, B, A - B, and A + B are all prime numbers. Th   [#permalink] 19 Mar 2019, 05:02
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