BdMO National Higher Secondary 2010/6
Posted: Mon Feb 07, 2011 12:08 am
Problem 6:
$a$ and $b$ are two positive integers both less than $2010$; $a\ne b$. Find the number of ordered pairs $(a, b)$ such that $a^2 + b^2$ is divisible by $5$. Find $a + b$ so that $a^2 + b^2$ is maximum.
$a$ and $b$ are two positive integers both less than $2010$; $a\ne b$. Find the number of ordered pairs $(a, b)$ such that $a^2 + b^2$ is divisible by $5$. Find $a + b$ so that $a^2 + b^2$ is maximum.