applications of linear Equations

Question

Find 2 consecutive odd integers such that twice the greater is 17 more than the lesser.

Answer 1

Hi Meghan

Two consecutive integers would be two numbers following each other, N and N + 1.
Two consecutive odd integers however would be N and N + 2. Obviously N is the smaller one and N + 2 is the larger one.

2 (N + 2) would be twice the greater
2 (N + 2) = N + 17 which would be 17 more than the lesser

2N + 4 = N + 17
subtracting N and 4 from both sides:
N = 13

and so the two integers are 13 and 15
we can double check by noting than twice 15 is indeed 17 more than 13.