Find the value of x for which the number 13x1 is divisible by 11
Answers
Answer:
The possible value of x is 3
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Answer:
3
Step-by-step explanation:
Since the number is divisible by 11, the difference of the sum of the alternate numbers will be either 0 or a multiple of 11.
For example : 3214
we should take the sum of (3 and 1) & (2 and 4.) (alternate numbers).
Now take the difference of their sum
i.e 6 - 4 (in this case always subtract the smaller number from the larger number)
Therefore the answer is 2.
the answer is neither zero nor a multiple of 11.
the answer is neither zero nor a multiple of 11.so the number 3214 is not divisible by 11.
Now considering the given data
the number 13x1 is divisible by 11.
by the divisiblity rule of 11
(1+x)-(3+1) should be either zero or a multiple of 11.
Here getting a multiple of 11 is impossible as the value of 'x' would exceed one digit. It is clear that in the given number the value of x will be one digit.
Therefore the value of 'x' should be 3 as the result of the equation will become zero.