Yago takes a two-digit whole number and subtracts the product of its digits. He calls the result a Yago Number. He repeats this process with other two-digit numbers to find more Yago Numbers.
For example, the product of the digits of \(82\) is \(8 \times 2 = 16\). Then \(82-16=66\), so \(66\) is a Yago Number. Similarly, the product of the digits of \(25\) is \(2 \times 5 = 10\). Then \(25-10=15\), so \(15\) is another Yago Number.
What are the largest and smallest Yago Numbers that you can find? Justify your answers.
Theme: Number Sense