Number Sense The sum of three different numbered is 18 If ev

Number Sense The sum of three different numbered is 18. If every number is a prime number, what are the three numbers?

Solution

Solution:

Given sum of three numbers is 18. The summation is an even number.
So two of three numbers will be odd and the other one will be an even number.
Now as the only one even number is two,so one of the prime number is 2.
Now the sum of the other two number is 18-2=16.
So the prime numbers will be less than 16.
Now if one of the prime number is 3,then the other number is 16-3=13,whch is a prime number.
Again if one number is 5,then the other number is 16-5=11,which is also a prime number...
Again if one number is 7,then the other number is 16-7=9,which is not a prime number...

So the answer is 2,3,13 or, 2,5,11