Difference between revisions of "2006 SMT/General Problems/Problem 13"
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| + | ==Problem 13== | ||
| + | <math> 123456789=100 </math>. Here is the only way to insert <math> 7 </math> pluses and/or minus signs between the digits on the left side to make the equation correct: <math> 1+2+3-4+5+6+78+9=100 </math>. Do this with only three plus or minus signs. | ||
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==Solution== | ==Solution== | ||
This solution does require quite a bit of guessing and testing, but if we notice that we want the numbers to be relatively close so that no term "dominates" the sum, we see that the solution is <math>\boxed{123-45-67+89=100}</math> | This solution does require quite a bit of guessing and testing, but if we notice that we want the numbers to be relatively close so that no term "dominates" the sum, we see that the solution is <math>\boxed{123-45-67+89=100}</math> | ||
Latest revision as of 17:34, 14 January 2020
Problem 13
. Here is the only way to insert 
pluses and/or minus signs between the digits on the left side to make the equation correct: 
. Do this with only three plus or minus signs.
Solution
This solution does require quite a bit of guessing and testing, but if we notice that we want the numbers to be relatively close so that no term "dominates" the sum, we see that the solution is 
