SOLUTION: Alice, Bob and Carrie’s ages combined is 64 years. Alice is three years younger than Bob and Carrie is one year older than Alice. What are their ages?

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Question 697290: Alice, Bob and Carrie’s ages combined is 64 years. Alice is three years younger than Bob and Carrie is one year older than Alice. What are their ages?
Answer by lwsshak3(11628) About Me  (Show Source):
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Alice, Bob and Carrie’s ages combined is 64 years. Alice is three years younger than Bob and Carrie is one year older than Alice. What are their ages?
**
let x=Alice's age
x+3=Bob's age
x+1=Carrie's age
**
sum of their ages=64
x+(x+3)+(x+1)=64
3x+4=64
3x=60
x=20
x+3=23
x+1=21
Alice's age=20
Bob's age=23
Carrie's age=21n