+0  
 
0
210
1
avatar

How many 3-digit numbers have the property that the units digit is at least twice the tens digit plus 5?

 Jun 26, 2022
 #1
avatar+2666 
0

There are 9 choices for the hundreds digit. 

 

The only possible cases for the tens and units digits are: (0, 5 - 9), (1, 7 - 9), (2, 9)

 

This makes for 9 cases for the units and tens digits. 

 

Thus, there are \(9 \times 9 = \color{brown}\boxed{81}\) cases. 

 Jun 26, 2022

2 Online Users

avatar