Puzzle:
Below is an equation that isn't correct yet. By adding a number of plus signs and minus signs between the ciphers on the left side (without changes the order of the ciphers), the equation can be made correct.
123456789 = 100
How many different ways can you find that makes the equation correct?
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Solution:
There are 12 different ways:
123+45-67+8-9=100
123+4-5+67-89=100
123-45-67+89=100
123-4-5-6-7+8-9=100
12+3+4+5-6-7+89=100
12+3-4+5+67+8+9=100
12-3-4+5-6+7+89=100
1+23-4+56+7+8+9=100
1+23-4+5+6+78-9=100
1+2+34-5+67-8+9=100
1+2+3-4+5+6+78+9=100
-1+2-3+4+5+6+78+9=100
There are 12 different ways:
123+45-67+8-9=100
123+4-5+67-89=100
123-45-67+89=100
123-4-5-6-7+8-9=100
12+3+4+5-6-7+89=100
12+3-4+5+67+8+9=100
12-3-4+5-6+7+89=100
1+23-4+56+7+8+9=100
1+23-4+5+6+78-9=100
1+2+34-5+67-8+9=100
1+2+3-4+5+6+78+9=100
-1+2-3+4+5+6+78+9=100
16 comments:
1+2+3-4+5+6+78+9 = 100
123
+ 4
- 5
+67
-89
-----
100
----
123
-45
-67
+89
-----
100
-----
12
-3
-4
+5
-6
+7
+89
---
100
---
1
+23
-4
+5
+6
+78
-9
-----
100
-----
1
+23
- 4
+56
+ 7
+ 8
+ 9
-----
100
-----
"...By adding a number of plus signs and minus signs between the ciphers on the left side..."
But there are no ciphers on the left hand side of the equation!
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