SOLUTION: Of the whole numbers 10, 11, . . . 98, 99 how many are greater than the sum of their digits?

Question 177984: Of the whole numbers 10, 11, . . . 98, 99 how many are greater than the sum of their digits?
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!

2 digit numbers can be written in this form
:
ab=10a+b
:
now the question is, of whole numbers, how many are greater than the sum of there digits. So they are asking when
:
ab>a+b or
:
when is 10a+b>a+b.
:
the answer is all of them are greater than the sum of their digits, as b is always equal to b and 10a is always 10 times greater than a

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