Jeff is 2 years younger than Carrie. 12 years agao, Carrie was twice as old as Jeff. How old is Jeff now?

Hi Jeff;

C-12=2(J-12)

C=J+2

Let's substitute...

(J+2)-12=2(J-12)

J-10=2J-24

Let's isolate J...

Let's add 10 to both sides...

10+J-10=2J-24+10

J=2J-14

Let's subtract 2J from both sides...

-2J+J=2J-14-2J

-J=-14

Jeff=14

Carrie=16

Let's check our work...

(16-12) ? 2(14-12)

4 ? 2(2)

4=4