Sam and Jeremy have ages that are consecutive odd integers. The product of their ages is 783. Which

Sam and Jeremy have ages that are consecutive odd integers. The product of their ages is 783. Which equation could be used to find Jeremy's age, j, if he is the younger man.

Let Sam's age be s. Let' Jeremy's age be j. We're given:

1. s = j + 2 <-- consecutive odd integers
2. sj = 783

Substitute (1) into (2):
(j + 2)j = 783
j^2 + 2j = 783

Subtract 783 from each side:
j^2 + 2j - 783 = 0 <-- This is the equation to find Jeremy's age.

To solve this, we type this quadratic equation into the search engine and get:
j = 27, j = -29.

Since ages cannot be negative, we have:
j = 27