If  \overline{3\times 2}  is a multiple of 11, where x is a digit, what is the value of x?

If  \( \overline{3\times 2}\)  is a multiple of 11, where x is a digit, what is the value of x?

Asked by Sakshi | 1 year ago |  53
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1 Answer

Solution :-

We know that the given number \( \overline{3\times 2}\) is a multiple of 11.

A number is divisible by 11 if and only if the difference between the sum of odd and even place digits is a multiple of 11.

i.e., Sum of even placed digits – Sum of odd placed digits = 0, 11, 22…

x – (3+2) = 0, 11, 22…

x – 5 is a multiple of 11

x – 5 = 0

x = 5

Answered by Aaryan | 1 year ago
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