-3
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Given the sequence 123456789

You can insert three operations (+,-,X,/) into this sequence to make the equation = 100.

Is there a way to solve this without brute force?

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3
  • $\begingroup$ Can we use one operation multiple times? $\endgroup$
    – user64580
    Commented Dec 27, 2019 at 23:45
  • $\begingroup$ I found way to get 200 :( $\endgroup$
    – Jasen
    Commented Dec 27, 2019 at 23:48
  • $\begingroup$ Does this answer your question? 1 2 3 4 5 6 7 8 9 = 100 $\endgroup$
    – Adam
    Commented Dec 28, 2019 at 0:07

1 Answer 1

2
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If I’m allowed to use the same operation multiple times, I would do:

123−45−67+89 = 100

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8
  • $\begingroup$ you also need to re-order the digits to do that, so it's not a soltion $\endgroup$
    – Jasen
    Commented Dec 27, 2019 at 23:48
  • $\begingroup$ Thanks I found out using the correct order :) $\endgroup$
    – user64580
    Commented Dec 27, 2019 at 23:52
  • $\begingroup$ @Jdrupal your answer With brute force, but I am looking for other possible solutions.. As I mentioned in question answer should be without Brute force. $\endgroup$
    – CR241
    Commented Dec 27, 2019 at 23:55
  • $\begingroup$ Sorry what do you mean by brute force? $\endgroup$
    – user64580
    Commented Dec 28, 2019 at 0:01
  • $\begingroup$ @CR241 There’s absolutely no evidence of a brute force method being used here. $\endgroup$ Commented Dec 28, 2019 at 0:03

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