1) The difference between the squares of two numbers is 256000 and the sum of the numbers is 1000. The numbers are : A) 600,400 B) 628,372 C) 640,360 D) 658.564 E) None of these Answer: Option BExplanation:Let the numbers be $x$ and $y$. Then, $x^{2}-y^{2}=256000$ and $x+y=1000$. On dividing, we get : $x-y= 256$. Solving $x+y=1000$ and $x-y= 256$, we get $x = 628$ and $y=372$