Question

Susan and Jenny have ages that are consecutive odd integers. The product of their ages is 575. Which equation could be used to find Jenny’s age, j, if she is younger than Susan?

A) j2 + 2 = 575

B) j2 − 2 = 575

C) j2 + 2j = 575

D) j2 − 2j = 575

Please provide an explanation, thanks! :D

Answer 1

equation could be used to find Jenny’s age, j, if she is younger than Susan is C)
`J^2+2J = 575` .

Explanation:

Here we have , Susan and Jenny have ages that are consecutive odd integers. The product of their ages is 575. We need to find Which equation could be used to find Jenny’s age, j, if she is younger than Susan .Let's find out :

We know that any two consecutive integers differ from each other by two ,let one number x so other number is x+2 .

x = age of Susan

x+2 = age of jenny

It's given that product of their ages is 575 i.e.

⇒
`x(x+2) = 575`

⇒
`x^2+2x = 575`

Let x= j , So

⇒
`J^2+2J = 575`

Therefore, equation could be used to find Jenny’s age, j, if she is younger than Susan is C)
`J^2+2J = 575` .