Triangular Numbers!!

Number Theory Level pending

Let a a and b b be two triangular numbers whose sum and difference are also triangular numbers. Find the minimum possible value of a + b a+b .

Note- A triangular number is a number in the form of n ( n + 1 ) 2 \frac{n(n+1)}{2} where n 1 n\ge1 .


The answer is 36.

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1 solution

Abhigyan Adarsh
May 3, 2015

i just guessed it and used the hit and trial method using the formula given by you . and came to the answer . rayyan how can you know so much at this age you are a genius .

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