SOLUTION: If x, y and z are three consecutive odd integers such that 10< x < y < z< 20 and if y and z are prime numbers, what is the value of x + y? I'm not looking for the answer I'm loo

Question 281029: If x, y and z are three consecutive odd integers such that 10< x < y < z< 20 and if y and z are prime numbers, what is the value of x + y?
I'm not looking for the answer I'm looking for an explanation on how to solve the problem
Please Help me
Thank you
Tania
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
They are all odd integers between 10 and 20
the odd integers between 10 and 20 are 11,13,15,17,19
take them in groups of three
which gives us three groups
11,13,15
13,15,17
15,17,19
y and z are prime
but 15 is not prime so it can't be y nor z
which leaves only one group
so it must be 15, 17, 19
but the problem asks for x + y
15+ 17=32
So the answer is 32
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