21 Sept 2013

OEMO Beginners 2000 Q3: Middle Secondary Mathematics Competition Question

A "nice" two-digit number is at the same time a multiple of the product of its digits and a multiple of the sum of its digits.

How many such two-digit numbers exist?

What is the quotient of number and sum of digits for each of these numbers?

[OEMO Beginners 2000 Q3]

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