Question

write digit in the blank space of each of the following numbers so the the number formed is divisible by 11: a) 92_389 b) 8_9484

Answer 1

Answer:

a) 928389 b) 869484

Step-by-step explanation:

a) 92_389

According to this criteria,

If the sum of the digits in odd places and sum of the digits in even places differ by zero or a number divisible by 11, then the given number is divisible by 11.

Sum of odd numbers- sum of even numbers= divisible by 11

(9+x+8)-(2+3+9)= divisible by 11

17+x-14= divisible by 11

=>x+3= divisible by 11

Therefore, 8+3 =11

So, x =8

b) 8_9484

(8+9+8)-(x+4+4)= divisible by 11

=>25-x+8= divisible by 11

=> 17-x = divisible by 11

Therfore, 17-6= 11, that is divisible by 11

So, x=6

I hope it helps you buddy!!!