We are all familiar with the fact that every real number can be expressed as a decimal (or has a decimal expansion). Such expansions are of course useful in allowing an easy comparison of the size of numbers, convenient addition, and so forth.
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.
J71 Find a four digit number which on division by $149$ leaves a remainder of $17$ and on division by $148$ leaves a remainder of $29$.