Answer to Question #176552 in Combinatorics | Number Theory for asd

Question #176552

1. If a, b, m, n are positive integers such that 1 < a < b < n and ma = nb.

Which is bigger, m or n? Explain.




1
Expert's answer
2021-03-30T16:32:20-0400

"a,\\ b,\\ m,\\ n" are positive integers such that "1<a<b<n" and "ma=nb" .

Using "a<b" , we have "nb =ma<mb" .

Dividing "nb<mb" by "b" , we obtain "n<m" .


Answer: "m" is bigger than "n" .


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