The integers 1, 2, 3 have the property that each divides the sum of other two. I

Question

The integers 1, 2, 3 have the property that each divides the sum of other two. Indeed, for each positive integer a, the integer a, 2a, 3a have the property that each divides the sum of other two. show that the following statement is false:

answer guide:

disprove there exists positive integer b < c < d (where c does not equal 2b and b does not equal 3b) such that b | b+d and d | b+c

proving: for every tripled positive integers b < c < d such that b | c+d , c | b+d , d | b+c, then c = 2b and d = 3b

Explanation / Answer

The integers 1, 2, 3 have the property that each divides the sum of other two. I

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.