Question 282537
First list the primes from 10 to 20: 11, 13, 17, 19


The value of 'y' can't be 11 since there are no integers between 10 and 11. In other words, there are no integer solutions to 10 < x < 11



Similarly, 'y' can't be 19 since there are no integer solutions to 19 < z < 20.



So the value of 'y' must be either 13 or 17. If 'y' is 13, then 'z' must be 15 (since all three are consecutive odd integers). However, 'z' is supposed to be prime and 15 is NOT prime. So 'y' can't be equal to 13 either.



By process of elimination, 'y' must be equal to 17. So z=y+2=17+2=19 (since all three are consecutive odd integers) and 'x' is two integers down from 'y' which means that x=y-2=17-2=15


So x+y=15+17=32