Question

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?

Answer 1

Answer: Fran's number is 70

Step-by-step explanation:

Let x represent Jen's number.

Let y represent Carrie's number.

Let z represent Fran's number.

When you add their numbers together you get 207. This means that

x + y + z = 207 - - - - - - - - - -1

Jen's number is 9 more than Carrie's number. It means that

y = x - 9

Fran's number is 3 less than Jen's number. It means that

z = x - 3

Substituting y = x - 9 and z = x - 3 into equation 1, it becomes.

x + x - 9 + x - 3 = 207

3x - 12 = 207

3x = 207 + 12 = 219

x = 219/3 = 73

y = x - 9 = 73 - 9

y = 64

z = x - 3 = 73 - 3

z = 70