# Locker doors

### Locker doors

The doors of 4 lockers in a school gym were worn out and have been replaced. The craftsman purchased the new metal digits required for the re-numbering of the doors. The numbering is consecutive. The store charges each digit "n" with n dollars (that is, digit "1" costs 1 dollar, while digit "0" is free). The craftsman paid 12 dollars for the numbering of the 4 doors. What were the numbers of the lockers?

Guest

### Re: Locker doors

Consecutive Door Numbers......

12 13 14 15

but written as binary (base 2) numbers

1100 1101 1110 1111 = 12 digits costing 12 dollars.

Guest

### Re: Locker doors

9 10 11 12
Instead of buying a 9, they bought a 6 and turned it upside down, because it was cheaper.
So the cost is 6+1+0+1+1+1+2 = 12

Hope this helped,

R. Baber.

Guest

### Re: Locker doors

Guest wrote:9 10 11 12
Instead of buying a 9, they bought a 6 and turned it upside down, because it was cheaper.
So the cost is 6+1+0+1+1+1+2 = 12

Hope this helped,

R. Baber.

You are a real genius!

Guest