SOLUTION: Eddie's age is 4 times Marco's. In 10 years Eddie will be twice as old as Marco will be. How old is each now? This has to be solved in the 5-step Method. Thank you!

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Question 276735: Eddie's age is 4 times Marco's. In 10 years Eddie will be twice as old as Marco will be. How old is each now?
This has to be solved in the 5-step Method.
Thank you!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Eddie's age is 4 times Marco's.
In 10 years Eddie will be twice as old as Marco will be.
How old is each now?
This has to be solved in the 5-step Method.
:
Let e = E's present age
Let m = M's present age
:
Write an equation for each statement
"Eddie's age is 4 times Marco's."
e = 4m
:
"In 10 years Eddie will be twice as old as Marco will be."
e + 10 = 2(m + 10)
e + 10 = 2m + 20
e = 2m + 20 - 10
e = 2m + 10
Substitute 4m for e from the 1st equation, find m
4m = 2m + 10
4m - 2m = 10
2m = 10
m = 5 yrs is M now
and
e = 4(5)
e = 20 yrs is E now
;
Check solution in the statement:
"In 10 years Eddie will be twice as old as Marco will be.
20 + 10 = 2(5 + 10)
30 = 2(15)
;
The last step is the sentence about this, I will let you do that