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History of Hindu Mathematics: A Source Book v1.c8.s13.86

History of Hindu Mathematics: A Source Book v1.c8.s13.86

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v1.c8.s13.86

(2) Four colleges, containing an equal number of pupils, were invited to partake of a sacrificial feast. A fifth, a half, a third and a quarter (of the total number of pupils in the college) came from the respective colleges to the feast; and added to one, two, three and four, they were found to amount to eighty-seven; or, with those deducted, they were sixty-seven. Find the actual number of the pupils that came from each college.