Posted by bravo on Monday, April 29, 2013 at 12:04pm.
Let A be a subset of T={1,2,…,100} subject to the condition that if 2 distinct elements a and b are in A, then a+b is not in A. What is the maximum value of A, which is the number of elements in A?

geometry!!!!  Steve, Monday, April 29, 2013 at 2:57pm
Looks like 51 to me.
If 49 is in A, 50,51 cannot be in A
If 48 is in A, 50,51,52 cannot be in A.
if n<50 is in A, we must exclude 51n elements from A.
So, including 50,51,...100 in A, we get 51 elements.
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