Math CentralQuandaries & Queries


Question from Abhishek, a student:

Three consecutive whole numbers are such that if they be divided by 5,3 and 4 respectively, the sum of the quotient is 40. What are the numbers?


Why not guess and check? Guess a number divisible by 5 for which the next number is divisible by 3, and the one after that by 4. For example try 5,6,7 — nope, won’t work because 7 isn't divisible by 4. Besides the quotients 5/5, 6/3, and 7/4 are pretty small. So try a larger number that’s divisible by 5.


About Math Central


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.
Quandaries & Queries page Home page University of Regina PIMS