Question

if 9,2 ,x ,389 is exactly divisible by 11 then value of x

Answer 1

Answer:

value of x = 8

Step-by-step explanation:

Given : 92x389  is exactly divisible by 11 .

We have to find the value for x,

 

Divisibility rule for 11  :

Add digits at even place and add digits at odd place of the given number then subtract both, the number thus obtained must be a multiple of 11 or 0 , then the given number is said to be divisible by 11.

consider the given number 92x389

Here,

sum of digits at odd place = 9 + x +8 = 17 + x

sum of digits at even place = 2 + 3 + 9 = 14

Then difference of sums = 17 + x - 14 =  x + 3

Since number given is exactly divisible by 11 .

Then , x + 3 must be a multiple of 11

⇒ x+ 3 = 11

⇒ x= 11 - 3 = 8

Thus, value of x = 8.