We know that $$0\leq a \leq b \leq c\leq d\leq e\,\,\text{ and}\,\, a + b + c + d + e = 100$$. What would be the least possible value of $\,\,a + c + e\,\,$ ?
I apologize for poor syntax.
We know that $$0\leq a \leq b \leq c\leq d\leq e\,\,\text{ and}\,\, a + b + c + d + e = 100$$. What would be the least possible value of $\,\,a + c + e\,\,$ ?
I apologize for poor syntax.
$$2(a+c+e) =a+a+c+c+e+e \geq a+b+c+d+e =100$$
With equality if and only if $a=0$, $b=c$ and $d=e$.