SOLUTION: For how many positive two-digit integers is the ones digit greater than twice the tens digit?

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Question 640819: For how many positive two-digit integers is the ones digit greater than twice the tens digit?
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
If the tens digit is 1, twice 1 is 2 and the digits that are greater than
2 are 3,4,5,6,7,8,9.  So that's 7 ways.

If the tens digit is 2, twice 2 is 4 and the digits that are greater than
4 are 5,6,7,8,9.  So that's 5 ways.

If the tens digit is 3, twice 3 is 6 and the digits that are greater than
2 are 7,8,9.  So that's 3 ways.

If the tens digit is 4, twice 4 is 8 and the only digit greater than
8 is 9.  So that's 1 ways.

The tens digit cannot be 5 or larger, since twice 5 is not a digit.

So that 7+5+3+1 = 16 of them.  Might as well list them all:

 1. 13
 2. 14
 3. 15
 4. 16
 5. 17
 6. 18
 7. 19
 8. 25
 9. 26
10. 27
11. 28
12. 29
13. 37
14. 38
15. 39
16. 49

Edwin




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