+0  
 
0
41
1
avatar

Find the one 10-digit number which uses all 10 digits and has the following characteristics: The leftmost digit is divisible by 1, the leftmost two digits make a number divisible by 2,  leftmost three digits form a number divisible by 3, etc. until the entire 10 digit number is divisible by 10.

 Jul 6, 2021
 #1
avatar+335 
0

A B C D E F G H I J

 

A+B/2= *integer*

A+B+C/3= *integer*

A+B+C+D/4= *integer*

 

yadda yadda yadda

 

Because of divisibility rules, J must be 0 due to math being math.

 

Such is the same for 5, which means that E is 5.

 

This goes on for quite a bit and frankly it's very time consuming for me to type, and for you to read.

 

The answer to this annoying question is 3816547290

 

3/1=3

38/2=19

381/3=127

3816/4=954

38165/5=7633

381654/6=63609

3816547/7=545221

38165472/8=4770684

381654729/9=42406081

3816547290/10=3816547290

 

Yay!

 Jul 6, 2021

16 Online Users

avatar
avatar