$a,b,c$ are natural no and equations $x^2-5x+a=0,x^2-6x+b=0,x^2-8x+c=0$ have exactly one root in common and common root is also a natural no.$b+c$ is maximum when common root is : - Clay6.com, a Free resource for your JEE, AIPMT and Board Exam preparation

$a,b,c$ are natural no and equations $x^2-5x+a=0,x^2-6x+b=0,x^2-8x+c=0$ have exactly one root in common and common root is also a natural no.$b+c$ is maximum when common root is :