Maths Olympiad Daily Problems

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Except for @Primemathema

Those who are sending really difficult question It's Literally of no use Now No one here is capable of doing them While sending you are just wasting your time

Try these problems guys !!!

[JEE ADV 2006] Let a and b be the roots of the equation x² - 10сх – 11d = 0 and those of x² – 10аx – 11b = 0 are c, d then find the value of a+ b+ c +d, assuming that a, b, c, d are distinct.

Ez

Find the number of Pairs of positive integers (a,b) such that a<=b and LCM(a,b)=2³.3².5

Try this problem guys AIME pyq