5. I have thought of a two-digit number. I swapped its digits and added the number 15. I then halved the resulting number and swapped its digits. This gave me the number 62. What number did I think of?

Problems worth 10 points:
5. The number 62 is obtained by swapping the digits, which means it was derived from the number 26. ..... 1 POINT
The number 26 was obtained by halving, so it was derived from the number $26 \cdot 2=52$. ..... 2 POINTS
The number 52 was obtained by adding the number 15, so it was derived from the number $52-15=37$. ..... 2 POINTS
The number 37 was derived from a hypothetical number by swapping the digits, which means the hypothetical number is 73.

1 POINT
TOTAL 6 POINTS

Note: A correct answer without explanation is worth 2 points.