Originally Posted by

**ff4930** The problem

How many positive integers from 100-999 are divisible by 7.

I want to confirm if my approach is the best approach in finding the answer.

The smallest integer that can be divided by 7 is

105+112+119+126+133+140+147+154+161+168+175+182+18 9+196

there are 14 numbers divisible by 7 from the range 100-200 so from 100-900 would be 9*14 = 126 numbers there is still 99 numbers unaccounted for

but the answer in my textbook states 128 numbers in total. How is that possible?