Math, asked by s15028avsesha02472, 3 months ago

35y928 find the missing digit y so that the number is divisible by 11​

Answers

Answered by KeshavNadgeri
0

Answer:

digit = 6

Step-by-step explanation:

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Answered by RvChaudharY50
33

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.

similar questions for practice :-

if a nine digit number 260A4B596 is divisible by 33, Then find the number of possible values of A.

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