the product of two consecutive odd integers is equal to 27 plus six times the sum of the integers. what are the two odd integers?

Question

 need to find the two odd integers and show all of the work involved for getting them.

Answer 1

Translate the words into Algebra:

Let n and n+2 be the desired two consecutive odd integers.

 

Product is n(n+2)   Sum is 2n+2

 

Given: product = 27 + 6*sum:  n(n+2) = 27 + 6(2n+2).  Take it from there.  Be sure to check each answer (n must be odd integer).