Forgot password? New user? Sign up
Existing user? Log in
Let a,b,ca,b,ca,b,c be positive reals. Also, let kkk be the largest possible real such that
a1+b1+c1+a+b1+b+c1+c+a1≤a+b+ck.\dfrac{a}{1}+\dfrac{b}{1}+\dfrac{c}{1}+\dfrac{a+b}{1}+\dfrac{b+c}{1}+\dfrac{c+a}{1}\le \dfrac{a+b+c}{k}.1a+1b+1c+1a+b+1b+c+1c+a≤ka+b+c.
If kkk can be expressed as pq\frac{p}{q}qp for relatively prime positive integers ppp and qqq, then what is p+q?p+q?p+q?
Problem Loading...
Note Loading...
Set Loading...