SOLUTION: out of 35 programmers,25 knows FORTRAN, 28 knows pascal and 2 know neither. How many know both the languages?

Question 173938: out of 35 programmers,25 knows FORTRAN, 28 knows pascal and 2 know neither. How many know both the languages?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Since the combined total of those who either know
fortran or pascal is is greater than
the total number of programmers, there must be some
who know both. there are 2 who know neither
The total of those who know 1 or both languages is
therefore
Call the overlap of those who know both
25 fortran programmers include the overlap
28 Pascal programmers include the overlap also, so
I must subtract from

Twenty know both languages
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