Question

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?
(1) j^2 + 2 = 783 (3) j^2 + 2j = 783
(2) j^2 - 2 = 783 (4) j^2 - 2j = 783

Answer 1

consecutive odd integers are 2 awya from each other
1,3,5,7,9...
since jeremy iis younger, he is 2 less than sam
j
s=j+2

sj=783
in terms of j
(j+2)j=783
distribute
j^2+2j=783

the answe ris the 3rd equation

Answer 2

j, j+2 - consecutive odd integers
j - Jeremy's age
j+2 - Sam's age
The product of their ages is 783.


`j(j+2)=783 \\ j^2+2j=783`

The answer is (3).