# Arrange numbers to 3 different math operations

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

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

• ab = a x b? or if they are numbers a=1, b=2, ab = 12? same for de and gh – lois6b Nov 29 '16 at 9:50
• @lois6b I assume the latter, since the multiplication is indicated by a '*' – Wu33o Nov 29 '16 at 9:51
• @Wu33o I thought that too, but dont like to assume – lois6b Nov 29 '16 at 9:51
• @lois6b : a = 1, b = 2, ab = 12 – Jamal Senjaya Nov 29 '16 at 9:52

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