The equation 1 + 2 + 3 + 4 + 5 +6 + 7 + 8 + 9 = 100 is clearly incorrect. By removing some + signs,
including some — signs and combining some of the digits to make larger numbers, see if you can make the
equation correct. Remember, only + and — signs are allowed and the equation must equal 100.
One example is shown below. Determine as many other possible solutions as you can, showing full working
123+45-67 +8-9=100
Here are a few other possible solutions:
- 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45
- 1 + 2 + 34 - 5 + 67 - 8 + 9 = 100
- 1 + 23 - 4 + 5 + 6 + 78 - 9 = 100
- 12 + 3 + 4 + 5 - 6 - 7 + 89 = 100
- 12 + 34 - 5 + 67 - 8 + 9 = 100
- 123 + 4 - 5 + 67 - 89 = 100
- 123 - 4 - 5 - 6 - 7 + 8 - 9 = 100
Note: There may be more possible solutions, but these are a few examples.
To find other possible solutions for the equation 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 100, we need to rearrange the numbers and operators using only + and - signs. Here are a few possible solutions:
1. 123 + 45 - 67 + 8 - 9 = 100 (given example)
2. 1 + 2 + 34 - 5 + 67 - 8 + 9 = 100
3. 1 - 2 - 3 - 4 - 5 + 6 - 7 + 89 = 100
4. 1 - 23 + 4 - 5 - 6 + 78 - 9 = 100
5. 12 + 3 + 4 + 5 - 6 - 7 + 89 = 100
6. 12 - 3 - 4 + 5 + 67 + 8 - 9 = 100
7. 123 - 4 - 5 - 6 - 78 + 9 = 100
These are just a few examples, but there may be more possible solutions.