Asked by Dulcibella
This one, I am very confused on and I have no idea how to solve. Please help explain it so I can understand it.
Given that the positive integers a, b, c, and d satisfy a/b < c/d < 1, arrange the following in order of increasing magnitude: b/a, d/c, bd/ac, b + d/ a + c, 1.
Thanks in advance!
Given that the positive integers a, b, c, and d satisfy a/b < c/d < 1, arrange the following in order of increasing magnitude: b/a, d/c, bd/ac, b + d/ a + c, 1.
Thanks in advance!
Answers
Answered by
bobpursley
Think it out.
Suppose c were 5 and d 9
and a were 1 and b were 9
So 1/9<5/9<1, right?
so b/a becomes 9, d/c becomes 1.8, bd/ac becomes 81/5 or 16.x, and you can do the others, ranking them. Will it hold for other numbers?
Suppose c were 5 and d 9
and a were 1 and b were 9
So 1/9<5/9<1, right?
so b/a becomes 9, d/c becomes 1.8, bd/ac becomes 81/5 or 16.x, and you can do the others, ranking them. Will it hold for other numbers?
Answered by
Dulcibella
How did you pick those numbers? Randomly, or was there a method?
Answered by
Damon
He picked the numbers according to your rules.
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