write a digit in the blank space of each of the following numbers so that the number formed is divisible by 11
92_389
8_9484
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Answered by
33
9 2 x 3 8 9
A number is divisible by 11 if the difference between the sum of odd place digits and sum of even place digit is divisible by 11
Sum of odd place digits = 9 + x + 8 = x + 17
Sum of even place digit = 2 + 3 + 9 = 14
Required difference = x + 17 - 14 = x + 3
Now,
The difference must be equal to 0 or 11 but if it is equal to 0, x will be negative.
X + 3 = 11
=> x = 8
Required number = 928389
Similarly,
Second number is 869484
A number is divisible by 11 if the difference between the sum of odd place digits and sum of even place digit is divisible by 11
Sum of odd place digits = 9 + x + 8 = x + 17
Sum of even place digit = 2 + 3 + 9 = 14
Required difference = x + 17 - 14 = x + 3
Now,
The difference must be equal to 0 or 11 but if it is equal to 0, x will be negative.
X + 3 = 11
=> x = 8
Required number = 928389
Similarly,
Second number is 869484
Answered by
4
Answer:
first one 928389 and scenod one will be 869484
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