Solution is available. Will be posted after. Please don't just give the two numbers. Show how you arrived at your answer. This problem is an excerpt from a book titled, A Course in Triangular Numbers by Paul Chika Emekwulu. Thank you.
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Well, the n-th triangular number is the sum of the first n numbers. So obviously 2 such numbers are:
1+2+3+...+14 = 105
1+2+3+...+14+15 = 120
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Thought I had the right answer till I saw your proof!
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