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Largest and Smallest Possible Number

If we add two...

Question

If we add two digits the result is a 2 digit number. If we multiply these digits the result is a 1 digit number. Identify the digits.

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Solution

The digits will be 19 or 91.

For 19; $1 + 9 = 10$ and $1 \times 9 = 9$
For 91; $9 + 1 = 10$ and $9 \times 1 = 9$

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