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IOL 2003 Problem #2 Arabic Arithmetic

Below you see arithmetic equalities written in Egyptian Arabic. All summands, as well as all sums except the last one, are represented as fractions in which neither the numerators nor the denominators are greater than 10, nor is any denominator equal to 1:

tumn + tumnēn = talatt itmān
sabaʕt itlāt + suds = ʕašart irbāʕ
tusʕēn + tusʕ = sudsēn
xamast ixmās + subʕ = tamant isbāʕ
subʕēn + xumsēn =

(a) Write these equalities in figures.

(b) The equality rubʕ + ʕašart itsāʕ = sabaʕt isdās is missing a sign. Which one?

⚠ The letter š is pronounced as English sh, x as the ch in loch; ʕ is a specific Arabic consonant. A bar above a vowel indicates length. The Egyptian dialect of the Arabic language is spoken by about 45 million people. Thanks to Egypt's considerable economic, political and cultural influence and most of all to the great quantity and popularity of its radio and television programmes, this dialect is also widely understood by speakers of other Arabic dialects.

—Ivan Derzhanski