SOLUTION: Sam is 5 years older than Marcia, and Marcia is 4 years older than Jack will be two years from now. How many years older than Jack is Sam?

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Question 479232: Sam is 5 years older than Marcia, and Marcia is 4 years older than Jack will be two years from now. How many years older than Jack is Sam?
Answer by Maths68(1474) About Me  (Show Source):
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1) Sam is 5 years older than Marcia so If we substract 5 years to Sam’s age then Sam and Marcia will be the same age
Marcia=Sam-5.....................(1)
2) After two years – means we have to add 2 years in both Marcia’s age and Jack’s age
Marcia+2=Jack+2
3) Marcia will be 4 years older than Jack after two years so add 4 to (Jack+2) then both Marcia and Jack will be of same age
Marcia+2=(Jack+2)+4 ...............(2)
4) Now we have to find How many years older is Sam than Jack?
We have two equations (1) and (2)
Marcia=Sam-5....................(1)
Marcia+2=(Jack+2)+4..........(2)
Now in equation (2) replace Marcia with (Sam-5):
(Sam-5)+2=(Jack+2)+4
Sam-5+2=Jack+2+4
Sam-3=Jack+6
Sam=Jack+6+3
Sam=Jack+9............(3)
Above equation shows that if we add 9 years to Jack’s age he will be of the same age as Sam
So Same is 9 years older than Jack