The product of two consecutive odd integers is 59 more than twice their sum. Set up an equation to represent this situation and then solve to find the solutions.

Question

How can I set up a equation to represent this situation and then solve it to find the solution?

Answer 1

Let the 2 odd integers be 2n-1 and 2n+1

Product=4n²-1

Twice the sum is 8n

Then 4n²-1=59+8n

Collect terms

4n² - 8n - 60 = 0

n² - 2n - 15 = 0

(n+3)(n-5)=0

Once you get the values for n, use them to get 2 sets of integers which will solve your problem.