Today Rose is twice as old as Sam and Sam is 3 years younger than Tina. If all three individuals are alive 4 years from today, which of the following must be true on that day?

1. Rose is twice as old as Sam.

2. Sam is 3 years younger than Tina.

3. Rose is older than Tina.

A. 1 only

B. 2 only

C. 3 only

D. 1 and 2

E 2 and 3

My Work:

Rose: 2(x - 3) + 4

Sam: (x - 3) + 4

Tina: x + 4

Reducing Rose, I get 2x - 2.

Reducing Sam, I get x + 1.

Tina remains x + 4.

If I factor Rose, I get 2(x - 1).

Is Rose twice as old as Sam based on my work? No.

Is Rose older than Tina? No.

Reducing Sam, I get x + 1.

Tina is x + 4.

Is (x + 4) three years older than (x + 1)?

I say yes. Answer is B. Correct? If correct, is my reasoning correct and sensible?