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jasen

Replace letters with numbers 1 to 9, so the 3 operations are equals

Question

Replace letters with numbers 1 to 9, so the 3 operations below are equals. Each letter represents one unique number.
  ab / c = de * f = gh - i

Note : 

  • If a = 1, and b = 2, then ab = 12  NOT multiplication
  • It is more fun if you solve this without computer, trust me this is easy.

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Looking at the size of the numbers c and f need to come from 1,2,3,4. By brute force, as ab = de * f * c I found this solution:

Spoiler

 

a = 7
b = 8
c = 2
d = 3
e = 9
f = 1
g = 4
h = 5
i = 6

or

78/2 = 39*1 = 45-6

 

 

Edited by bonanova
added spoiler

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