In the gymnasium, all students know at least one of the ancient languages - Greek or Latin, some know both languages. $85 \%$ of all students know Greek and $75 \%$ know Latin. What fraction of the students know both languages?

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$100-85=15 \%$ of all the guys do not know Greek, that is, they only know Latin. This means that $75-15=$ $60 \%$ speak both languages.

## Answer

$60 \%$.

## Problem