Write a digit in the blank space of each of the following numbers so that the numbers formed is divisible by 11.
(a) 92 ___ 389
(b) 8 ___ 9484
Answers
Step-by-step explanation:
a) 92 __ 389
Sum of odd digits = 9 + (blank space) + 8 = 17 + blank space
Sum of even digits = 2 + 3 + 9 = 14
As we know,
The number is divisible by 11 if the difference between the sum of the digits at odd places and the sum of the digits at even places is divisible by 11.
If we make the sum of odd digits = 25
then we will have difference = 25 - 14 = 11
which is divisible by 11.
To make the sum of odd digits = 25,
the number at black space would be 8.
b) 8__ 9484
Sum of odd digits = 8 + 9 + 8 = 25
Sum of even digits = blank space + 4 + 4 = blank space + 8
The number is divisible by 11 if the difference between the sum of the digits at odd places and the sum of the digits at even places is divisible by 11.
If we make the sum of even digits = 14 then we will have difference = 25 - 14 = 11 which is divisible by 11.
To make the sum of even digits = 14,
the number at black space would be 6.
hope it helps you