Question 946167: Phil, Steve, and Esther are aged 19 – 22, and none of them is the same age. Phil's age is an even number, and Steve and Esther have consecutive ages. Steve's age is an odd number, and he is older than Phil. Who is the oldest?
Answer by Edwin McCravy(20077)   (Show Source):
You can put this solution on YOUR website! Phil, Steve, and Esther are aged 19 – 22, and none of them is the same age.
Phil's age is an even number, and Steve and Esther have consecutive ages.
Steve's age is an odd number, and he is older than Phil. Who is the oldest?
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Steve's age is an odd number...
So Steve is either 19 or 21
and he (Steve) is older than Phil.
So Steve is 21, for if he were 19, Phil would be 18 or younger, not allowed.
and he (Steve) is older than Phil.
So Phil is either 19 or 20.
Phil's age is an even number,
So Phil is 20.
Steve and Esther have consecutive ages.
Since Steve is 21, Esther is either 20 or 22
none of them is the same age
Since Phil is 20, Esther can't be, so she is 22, and
therefore she is the oldest.
Edwin
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