Math, asked by adityanraj2, 1 year ago

Write a digit in the blank space so that the number formed is divisible by 11-
A. 92 389

Answers

Answered by binodkjha1972
7

Answer:

Let suppose missing digit = x

Calculate the sum of the digits at odd places = 9 + 3 + 2 = 14

Calculate the sum of the digits at even places = 8+ x + 9 = 17 + x

Difference = 17 + x – 14 = 3 + x

For a number to be divisible by 11, this difference should be 0 or a multiplier of 11.

If 3 + x = 0, then

x = -3

But the number cannot be negative.

The closest multiplier of 11, which is near to 3 is taken. This is 11 itself.

3 + x = 11

x = 8

Therefore, the required digit is 8.

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