SOLUTION: How many times does the digit 6 appear between 30 and 300 in an even number?

Question 252875: How many times does the digit 6 appear between 30 and 300 in an even number?
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!
From 30 to 300, exclusive of 30 and inclusive of 300, there are
300-30+1 or 270 integers. So half or 135 of them are even.
Among the 135 units digits there are exactly as many 6's as there
are any other even digit. There are 5 even digits, so we divide
135 by 5 and get 27. So there are 27 6's among the 135 units
digits. The only 6's among the tens digits are from 60 thru 69,
160 thru 169, and 260 thru 269. That's 15 more 6's. There are
no 6's among the hundreds digits. So altogether there are 27 + 15
or 42 6's contained in even integers from 30 to 300.
RELATED QUESTIONS
My first book required 1386 digits to consecutively number it pages. A.) How many pages... (answered by Edwin McCravy)

A book has 500 pages numbered 1, 2, 3, and so on. How many times does the digit 1 appear... (answered by kevwill)

A book has 500 pages numbered 1, 2, 3� and so on. How many times does the digit 1 appear... (answered by KMST)

How many times does the digit 0 appear from 1000 to... (answered by Alan3354,Edwin McCravy)

How many numbers between 300 and 300 can be made from the digits 0,1,2,3,4 and 5 if no... (answered by ikleyn)

A number between 300 and 400 is forty times the sum of its digits. The tens digit is 6... (answered by dolly)

The 86-digit number 666...666 ( made entirely of sixes) is multiplied by the 85... (answered by greenestamps,Edwin McCravy)

In how many 4 digit integers does the digit 5 appear once and only once and as the... (answered by ewatrrr)

How many three digit numbers start with a prime digit, have an even digit in the middle, (answered by Alan3354)