The difference between two consecutive triangular numbers is 15. Find the numbers.

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.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

and

1+2+3+...+14+15 = 120

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