Answer:
Step-by-step explanation:
We are looking for two numbers, [tex]N[/tex] and [tex]N + 1[/tex]. From the problem statement, we can setup the following equation:
[tex]3N^{2} = 5(N + 1) + 7[/tex]
[tex]3N^{2} = 5N + 5 + 7[/tex]
[tex]3N^{2} - 5N - 12 = 0[/tex]
[tex](3N + 4)(N - 3)[/tex]
[tex]N = \frac{-4}{3}, 3[/tex]
Because 3 is the only integer solution, the answer is 3 and 4.
