# A Sock Problem!!

If $$m$$ Red socks and $$n$$ Blue socks $$(m>n)$$ in a Cupboard are well mixed up

where, $$m+n\leq 101$$.

If two socks are taken out at random,

The chance that they have same colour is $$\dfrac{1}{2}$$.

Then Find largest value of $$m$$.

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