SOLUTION: the sum of three different prime numbers is 40. What is the difference between the biggest two biggest of these two numbers?

Question 1052009: the sum of three different prime numbers is 40. What is the difference between the biggest two biggest of these two numbers?
Found 2 solutions by jorel555, Alan3354:
Answer by jorel555(1290) (Show Source): You can put this solution on YOUR website!
The only numbers that fall in this category are the numbers 31, 7, and 2. Thus, the biggest difference is between 31 and 7, which is 24. ☺☺☺☺
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
the sum of three different prime numbers is 40. What is the difference between the biggest two biggest of these two numbers?
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Most prime numbers are odd.
The sum of 3 odd numbers is an odd number.
--> One of the primes is the only even prime number, 2.
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The sum of the other 2 is 38.
--> 7 & 31 by thinking about it for 31 milliseconds.
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Fortunately for you, you didn't have to think.
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