Question

Consecutive Integer Problems

List information.
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Consecutive integers: n, n+1, n + 2
Consecutive odd/even integers: n, n+ 2, n +4
Ex. Find two consecutive odd integers such that seven times the
first equals five times the second.

Answer 1

`7n=5(n+2) \iff 7n=5n+10 \iff 7n-5n=10\\`

`2n=10 \implies n = 5`

`5 + 2 = 7`

`5 \ \ and \ \ 7`