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One day our teacher asked us a puzzling question:
Can you find a special number?
Can you find more than one?
Can you find them all?
One way to convince yourself that you've found all the special numbers is to use a little algebra...
Any two-digit number can be represented algebraically as $10a + b$.
$a$ is the tens digit and $b$ is the units digit.
Write down the algebraic expressions for the sum and the product of the digits.
Now write an equation that all special numbers will satisfy. See the hint if you're not sure how to do this.
Solve the equation, and use it to convince yourself that you have found all the special numbers.
There are other sorts of special two-digit numbers...
Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?
Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?
Learn to write procedures and build them into Logo programs. Learn to use variables.