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Question Number 75894 by gugum last updated on 20/Dec/19

When 616 is divided by a certain   positive number, which is 66(2/3)% of the  quotient, it leaves 16 as the remainder.  Find the divisor.

$$\mathrm{When}\:\mathrm{616}\:\mathrm{is}\:\mathrm{divided}\:\mathrm{by}\:\mathrm{a}\:\mathrm{certain}\: \\ $$$$\mathrm{positive}\:\mathrm{number},\:\mathrm{which}\:\mathrm{is}\:\mathrm{66}\frac{\mathrm{2}}{\mathrm{3}}\%\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{quotient},\:\mathrm{it}\:\mathrm{leaves}\:\mathrm{16}\:\mathrm{as}\:\mathrm{the}\:\mathrm{remainder}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{divisor}. \\ $$

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