+0  
 
0
71
1
avatar

Let n be a positive integer. If  a = 414n + 12 , what is the remainder when a is divided by 9?

 Feb 7, 2021
 #1
avatar+8456 
0

414 is divisible by 9

=> 414n is divisible by 9

=> 414n + 9 is divisible by 9

 

414n + 12 = (414n + 9) + 3

 

414n + 12 is 3 more than a multiple of 9. The required remainder is 3.

 Feb 8, 2021

30 Online Users

avatar
avatar