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Replace letters with numbers 1 to 9, so the 3 operations below are equals. Each letter represents one unique number.

$$\frac{ab}{c} = de \times f = gh - i$$

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    $\begingroup$ ab = a x b? or if they are numbers a=1, b=2, ab = 12? same for de and gh $\endgroup$
    – lois6b
    Nov 29, 2016 at 9:50
  • $\begingroup$ @lois6b I assume the latter, since the multiplication is indicated by a '*' $\endgroup$
    – Wu33o
    Nov 29, 2016 at 9:51
  • $\begingroup$ @Wu33o I thought that too, but dont like to assume $\endgroup$
    – lois6b
    Nov 29, 2016 at 9:51
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    $\begingroup$ @lois6b : a = 1, b = 2, ab = 12 $\endgroup$
    – Jamal Senjaya
    Nov 29, 2016 at 9:52

1 Answer 1

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I think

$\frac{78}2=39\times1=45-6$

works fine

How I reached the result:

I assumed $f=1$ and $c=2$. As a conclusion, the value of the division (and thus all the expressions) has to be less than $50$, so $d$ is either $3$ or $4$, and $g=d+1$. After a few trials I found the solution above.

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