To grasp the nature of the contents of this article, consider the four figures in the diagram.
J91 (i) Find all whole numbers such that when the third digit is deleted, the resulting number divides the original one.
J81 The lengths of the sides of a right angled triangle are natural numbers. The length of one side is $14$. Find the lengths of the other sides.
Two runners start on a straight one mile race track. The slower runner $S$ is given a handicap and starts first.