posted got deleted
each term = floor r or (floor r) + 1
total 73 terms
73 floor r ≤ 546 ≤ 73((floor r) +1)
note that 73* 7 ≤ 546≤ 73* 8
so floor r = 7
nice q IMHO
\lfloor\dfrac{r+19}{100}\rfloor+\lfloor\dfrac{r+20}{100}\rfloor+....+\lfloor\dfrac{r+91}{100}\rfloor=546
Find \lfloor r \rfloor
posted got deleted
each term = floor r or (floor r) + 1
total 73 terms
73 floor r ≤ 546 ≤ 73((floor r) +1)
note that 73* 7 ≤ 546≤ 73* 8
so floor r = 7
nice q IMHO