35y928 find the missing digit y so that the number is divisible by 11
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Answer:
digit = 6
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Question :- 35y928 find the missing digit y so that the number is divisible by 11 ?
Answer :-
we know that,
- A number is divisible by 11 if the sum of the digits in the odd places and the sum of the digits in the even places difference is a multiple of 11 or 0 .
so,
- Digits at odd places = 3 , y and 2
- Digits at even places = 5, 9, and 8.
then,
→ (5 + 9 + 8) - (3 + y + 2) = 0, 11, 22 , _____
→ 22 - (5 + y) = 0, 11, 22 , _____
→ 17 - y = 0, 11, 22 , _____
putting values of y now,
- if y = 0 => 17 - 0 = 17 ≠ 0, 11, 22 , _____
- if y = 1 => 17 - 1 = 16 ≠ 0, 11, 22 , _____
- if y = 2 => 17 - 2 = 15 ≠ 0, 11, 22 , _____
- if y = 3 => 17 - 3 = 14 ≠ 0, 11, 22 , _____
- if y = 4 => 17 - 4 = 13 ≠ 0, 11, 22 , _____
- if y = 5 => 17 - 5 = 12 ≠ 0, 11, 22 , _____
- if y = 6 => 17 - 6 = 11 = 11
- if y = 7 => 17 - 7 = 10 ≠ 0, 11, 22 , _____
- if y = 8 => 17 - 8 = 9 ≠ 0, 11, 22 , _____
- if y = 9 => 17 - 9 = 8 ≠ 0, 11, 22 , _____
therefore, we can conclude that, value of y is 6.
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