Let's analyze the riddle step by step, using the provided grid to solve it.

The riddle asks:

1. Two places away from itself plus three.
2. One place away from itself plus five.
3. Three places away from itself less one.
4. Two places away from itself plus two.
5. Three places away from itself less four.

Step 1: What does "places away" mean?

"Places away" can be interpreted as movement on the grid in one of the cardinal directions (up, down, left, right). Without explicit directions, we assume the movement is done primarily in the rightward (horizontal) direction. Each place corresponds to movement by one grid cell.

Step 2: Start by checking possible grid entries

We will try different grid entries and apply the steps to see if we arrive at a consistent answer.

Let's try starting from 62:

1. Two places away from itself plus three:

   • Move two places to the right from 62: we reach 30.
   • Add 3 to 30: $30 + 3 = 33$.

2. One place away from itself plus five:

   • Move one place to the right from 62: we reach 67.
   • Add 5 to 67: $67 + 5 = 72$.

3. Three places away from itself less one:

   • Move three places to the right from 62: we reach 59.
   • Subtract 1 from 59: $59 - 1 = 58$.

4. Two places away from itself plus two:

   • Move two places to the right from 62: we again reach 30.
   • Add 2 to 30: $30 + 2 = 32$.

5. Three places away from itself less four:

   • Move three places to the right from 62: again, we reach 59.
   • Subtract 4 from 59: $59 - 4 = 55$.

None of these answers match, meaning 62 does not work.

Trying 65 as the starting number:

1. Two places away from itself plus three:

   • Move two places to the right from 65: we reach 55.
   • Add 3 to 55: $55 + 3 = 58$.

2. One place away from itself plus five:

   • Move one place to the right from 65: we reach 8.
   • Add 5 to 8: $8 + 5 = 13$.

3. Three places away from itself less one:

   • Move three places to the right from 65: we reach 19.
   • Subtract 1 from 19: $19 - 1 = 18$.

4. Two places away from itself plus two:

   • Move two places to the right from 65: we again reach