Jen, carrie, and fran are each thinking of a number. when you add their numbers together you get 207. jen's number is 9 more than carrie's, and fran's number is 3 less than jen's number. what is fran's number?

Respuesta :

Jen, carrie, and fran are each thinking of a number.

Let the number Jen thinks is J

Let the number Carrie thinks is C

Let the number Fran thinks is F

when you add their numbers together you get 207

so J + C + F = 207 -------------> Equation 1

jen's number is 9 more than carrie's

So J = 9 + C -------------> Equation 2

and fran's number is 3 less than jen's number

So F = J - 3

Replace 9 + C for J

F= 9 + C - 3 = 6 + C ------------> Equation 3

Replace equation 2 & 3 in equation 1

J + C + F = 207

9 + C + C + 6 + C = 207

3C + 15 = 207

3C = 192

Divide by 3 on both sides

C = 64

We know F = 6 + C = 6 + 64 = 70

So Fran's number = 70