500
Three prime numbers add up to 100. Of the three numbers, one of them is more than a third but less than a half of another. Find the three numbers.
What is 2, 31, and 67.
Since the three primes add up to 100, one of them must be even. The only even prime is 2. Therefore the other two primes must add up to 98. By trial and error, these can be determined to be 31 and 67. So the three primes are 2, 31, and 67.