document.write( "Question 252666: If a and b are different positive integers, and 5a + 2b = 34 is an integer,
\n" ); document.write( "what is the sum of all possible values of a?\r
\n" ); document.write( "\n" ); document.write( "A) 6 B) 10 C) 12 D) 14 E) 16
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Algebra.Com's Answer #184697 by palanisamy(496)\"\" \"About 
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Given, a and b are different positive integers,
\n" ); document.write( "and 5a + 2b = 34 is an integer,
\n" ); document.write( " 5a = 34-2b
\n" ); document.write( " a = (34-2b)/5
\n" ); document.write( "In order that (34-2b)/5 tobe a positive integer, 34-2b must be a multiple of 5.
\n" ); document.write( "The possible values of b are 2,7,12 and 17.
\n" ); document.write( "If b = 2, then a = (34-4)/5 = 30/5 = 6
\n" ); document.write( "If b = 7, then a = (34-14)/5 = 20/5 = 4
\n" ); document.write( "If b = 12, then a = (34-24)/5 = 10/5 = 2
\n" ); document.write( "If b = 17, then a = (34-34)/5 = 0
\n" ); document.write( "Therefore the sum of the values of a = 6+4+2 = 12
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