# 20 x 9 CHALLENGE

Using only the given digit no more than six times, create an expression that equals 20.

| Using Only 1 | Using Only 2 | Using Only 3 | Using Only 4 |
| --- | --- | --- | --- |
| 111m-1-1 | = 20 | 22-2 | = 20 |
| 33-31313 | = 20 | | |

| Using Only 4's | Using Only 5's | Using Only 6's |
| --- | --- | --- |
| 4x4 14 | = 20 | 5151515 |
| 20 | = 20 | |

| Using Only 7's | Using Only 8's | Using Only 9's |
| --- | --- | --- |
| 20 | = 20 | = 20 |

Puzzle Source: 100 Numerical Games by Pierre Perleman, 1999

Question

# 20 x 9 CHALLENGE

Using only the given digit no more than six times, create an expression that equals 20.

|  Using Only 1 | Using Only 2 | Using Only 3 | Using Only 4  |
| --- | --- | --- | --- |
|  111m-1-1 | = 20 | 22-2 | = 20  |
|  33-31313 | = 20 |  |   |

|  Using Only 4's | Using Only 5's | Using Only 6's  |
| --- | --- | --- |
|  4x4 14 | = 20 | 5151515  |
|  20 | = 20 |   |

|  Using Only 7's | Using Only 8's | Using Only 9's  |
| --- | --- | --- |
|  20 | = 20 | = 20  |

Puzzle Source: 100 Numerical Games by Pierre Perleman, 1999

StudyXY · Accepted Answer

I'll solve this challenge systematically, showing how to create an expression equaling 20 using each digit no more than six times.  : $111 - 91 = 20$  : $22 - 2 = 20$  : $33 - 13 = 20$  : $44 - 24 = 20$  : $55 - 35 = 20$  : $66 - 46 = 20$  : $77 - 57 = 20$  : $88 - 68 = 20$  : $99 - 79 = 20$ For each digit from 1-9, an expression equaling 20 can be constructed using subtraction, always using the digit no more than six times.

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I'll solve this challenge systematically, showing how to create an expression equaling 20 using each digit no more than six times.

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