Special Sums and Products
Age 11 to 14
Challenge Level
The numbers 4 and 12 have a special property.
$$\begin{eqnarray} 4 + 12&= 16\\ 4 \times 12&= 48
\end{eqnarray}$$
and 16 is a factor of 48.
Find some other examples of pairs of numbers such that their sum is
a factor of their product.
What condition must exist for pairs of numbers to be related in
this way?