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## 'Sum Equals Product' printed from http://nrich.maths.org/

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 and can this be so for
any whole numbers?

What relationship must exist between the numbers?