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    Some interesting fill in puzzle

    Math Problems
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    • B
      boldsidewinder 0 M0 M1
      last edited by

      Fill in the circles with any number(no repeating) in a way that the sum of the numbers on a row or column are the same.phonto.PNG

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      • R
        rationaltiger M0 M1★ M2 M3 M4 M5 @boldsidewinder 0
        last edited by

        @boldsidewinder-0 This is a fun problem!

        I let a=leftmost ?, b=topmost ?, and c=bottomost ?

        $$8+a=17+b=9+b+c=13+c$$
        Then, $$17+b=9+b+c\Longrightarrow c=8,$$ so
        $$13+c=17+b\Longrightarrow b=13+8-17=4$$ and $$8+a=13+c\Longrightarrow a=13+8-8=13.$$

        That gives $$(a,b,c)=(13,4,8),$$ and those numbers work! (with the sum being 21).

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          boldsidewinder 0 M0 M1 @rationaltiger
          last edited by

          @rationaltiger Correct!

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