SOLUTION: Erin's age is 3 times Warren's. In 4 years she will be twice as old as he will be. How old is each now? How would you make an equation out of this? and check it? Please help

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Question 86888This question is from textbook algebra structure and method
: Erin's age is 3 times Warren's. In 4 years she will be twice as old as he will be. How old is each now?
How would you make an equation out of this?
and check it?
Please help!!! This question is from textbook algebra structure and method

Found 2 solutions by ankor@dixie-net.com, tutor_paul:
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Let Warren's age now = x
: Erin's age is 3 times Warren's. Therefore:
Erin's age now is 3x
:
In 4 years she will be twice as old as he will be.
Warren's age in 4 years = (x+4)
Erin's age in 4 years = (3x+4)
Twice Warrens age = 2(x+4)
:
How old is each now?
How would you make an equation out of this?
3x + 4 = 2(x+4)
:
Can you do this now?
Answer by tutor_paul(519)   (Show Source): You can put this solution on YOUR website!
You can make 2 equations out of this based on the information given. The first equation is derived from the fact that right now, Erin is 3 times older than Warren. Let E=Erin's age this year, and W=Warren's age this year:
Equation #1: E=3W
The next equation is developed from the fact that in 4 years, Erin will be twice the age of Warren. Using the same variables, you can write:
Equation #2: E+4=2(W+4)
Now that you have 2 equations and 2 unknowns, you can solve this problem!
Substitute the value of E from Equation #1 into Equation #2 and solve for W:




Now, substitute this value of W into Equation #1 to find Erin's age:


Good Luck,
tutor_paul@yahoo.com
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