It is proved that from the first 15 odd numbers 1, 3 and 5-29, if you take any 9 numbers, the sum of two numbers must be 52

It is proved that from the first 15 odd numbers 1, 3 and 5-29, if you take any 9 numbers, the sum of two numbers must be 52

The sum of two numbers must be 52? This should be wrong, not 52, = 29 + 23 = 27 + 25, only the sum of two groups of numbers is 52, there are 11 numbers, any 9 numbers will not meet the sum of two numbers is 52. This problem is the application of drawer principle. 32 = 29 + 3 = 27 + 5 = 25 + 7 = 23 + 9 = 21 + 11 = 19 + 13