SOLUTION: Alice is twice as old as Judy, who is younger than Alex by 3 years. If the sum of their ages is 27, how old is Alice?

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Question 246747: Alice is twice as old as Judy, who is younger than Alex by 3 years. If the sum of their ages is 27, how old is Alice?
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
Alice is twice as old as Judy, who is younger than Alex by 3 years.
Let Alex = x
Let Judy = x-3
Let Alice = 2(x-3)
If the sum of their ages is 27, our equation becomes:
x%2B%28x-3%29%2B%282%28x-3%29%29=27
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Now solve for x to determine Alex's age.
Then deduct 3 to determine Judy's age.
Then multiply Judy's age by 2 to determine Alice's age.
.
Remember to check your answers to ensure their ages add up to 27.
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I'll let you take it from here. :)