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A puzzle related to mathematical facts and objects, whose solution needs mathematical arguments. General mathematics questions are off-topic but can be asked on Mathematics Stack Exchange.

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Positive integers as sum or difference of consecutive square numbers

Yes, one can. Now simply pick two consecutive numbers a,b,(a<b). Now use (a^2-b^2). Expanding it you end up with (a+b)(a-b).[(a-b)=1] Now it ends up with (2a+1)-----(1) For all whole number values of …
mechanics's user avatar
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10 coins, 3 of them are fake

I think 6 will workout.Let us divide the total coins in set of 3,3,3,1. Now when you compare 3(1),3(2)/ 3(1),3(3)/3(2)3(3) ypu will get various weights increasing order. I will use mathematical forms …
mechanics's user avatar