The year 2014 when divided by 24 yields a quotient of 83 and a remainder of 22. The number 83 when divided by 7 yields a quotient of 11 and a remainder of 6. So, the number 2014 when successively divided by 24 and 7 yields the respective remainders of 22 and 6.

Which year comes next that yields the respective remainders of 22 and 6 upon successive divisions by 24 and 7? Which year before 2014 has this property?

Posted by Charlie on 2014-12-11 08:48:22