# Sum Equals Product

##### Age 11 to 14 Challenge Level:

The sum of the numbers 4 and $1 \frac{1}{3}$ is the same as the product of 4 and $1 \frac{1}{3}$;

that is to say $4 +\frac{4}{3} = 4 \times \frac{4}{3}$.

What other numbers have the sum equal to the product?

What relationship must exist between the numbers?