Greatest integer function

\lfloor\dfrac{r+19}{100}\rfloor+\lfloor\dfrac{r+20}{100}\rfloor+....+\lfloor\dfrac{r+91}{100}\rfloor=546
Find \lfloor r \rfloor

1 Answers

21
Shubhodip ·

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

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