Who is the oldest? How old are the other two?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....

Who is the oldest? How old are the other two?

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.

Asked on by ashcash94

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techie4ever | (Level 1) Adjunct Educator

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We have three people and four potentential ages:  19, 20, 21, 22.

We are told that Phil's age is an even number.  There are only two ages from the list of choices that meet this criteria, 20 and 22.  Therefore, Phil is either 20 or 22.

We are also told that Steve is older than Phil.  If that is the case, then Phil cannot be 22 because we know that none of the three people is older than 22.  This allows us to eliminate 22 from the two even number options for Phil.  So now we know that Phil is 20.

Since Steve is older than Phil, we can now further conclude that Steve must be either 21 or 22.  But we also know that Steve's age is odd.  Therefore, Steve is 21, not 22.  

The additional piece of information that we have is that Steve and Esther have consecutive ages.  If Steve is 21, then the consecutive ages must be 20 and 21 or 21 and 22.  In other words, Esther must be either 20 or 22.  Since we have already determined that Phil is 20, and we know that none of the three people is the same age, then we can now determine that Esther is not 20, but instead Esther is 22

Answer:  Esther, the oldest, is 22-years-old.  Steve, the second oldest, is 21-years-old.  Phil, the youngest, is 20-years-old.

 

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