SOLUTION: Jerry is 5 times as old as Hannah. In 2 years, he will be 3 times as old, and in 6 years, he'll only be twice as old. How old will Jerry be in 6 years time?

Algebra ->  Equations -> SOLUTION: Jerry is 5 times as old as Hannah. In 2 years, he will be 3 times as old, and in 6 years, he'll only be twice as old. How old will Jerry be in 6 years time?      Log On


   

Question 695883: Jerry is 5 times as old as Hannah. In 2 years, he will be 3 times as old, and in 6 years, he'll only be twice as old.
How old will Jerry be in 6 years time?
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Let A = Jerry's current age
Let B = Hannah's current age
Equation 1: A+=+5B
Equation 2: A%2B2+=+3%28B%2B2%29
Equation 3: A%2B6+=+2%28B%2B6%29
--------------------------------
Plug 5B into equation 2 for A
Equation 2: A%2B2+=+3%28B%2B2%29
5B%2B2+=+3%28B%2B2%29
Simplify
5B+%2B+2+=+3B+%2B+6
Subtract 3B from both sides
2B+%2B+2+=+6
Subtract 2 from both sides
2B+=+4
Divide both sides by 2
highlight%28B+=+2%29
Now plug 2 into equation 1 for B
Equation 1: A+=+5B
A+=+5%2A%282%29
highlight_green%28A+=+10%29
So if Jerry is ten now then in 6 years he will be 16.