M is a real number satisfying this equation:

floor(M + 19/100) + floor(M + 20/100) + ....+ floor(M + 91/100) = 546

Find floor(100*M).

For Σ_{[n = 19 to 91]} floor(M+n/100) = 546, where M is an element of R

7.43 ≤ M < 7.44

therefore,
floor(100×M) = 743

Posted by Dej Mar on 2014-12-02 13:54:17