if the number x4461 is divisible by 11 what is the value of x??
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To check the divisibility by 11 we need to add the corresponding digits like x+4+1 and 4+6 which will be equal i.e. 5+x=10 which means x=5
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The divisibility test for 11 is:
The sum of digits at units place should be equal to the sum of digits at tens place.
For example,
The number 121.
Sum of odd digits= 1+1=2
Sum of even digits=2
So 121 is divisible by 11.
Similarly, the given number is x4441.
So, for this number to be divisible by 11, the sum of digits at odds place should be equal to the sum of digits at the evens place.
So, we have x+4+1= 4+4
So, we get x=3
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