Question

Given that the number 1372x413 is divisible by 11, where x is a digit, then the value of x is

To find if number is divisible by 11, difference of sum of digits at even places and sum of digits at odd places should be either 0 or 11.

is this correct?????

Answer 1

almost. The sum must be divisible by 11.

Or, continue casting out 11's till you get to zero.

918082 is divisible by 11 (11*83462)

9-1+8-0+8-2 = 22
2-2 = 0

Answer 2

Your rule is correct,
so the sum of the odd-place digits
= 1+7+x+1 = x+9
sum of even-place digits
= 3+2+4+3 = 12
difference :
x+9 - 12 = 0
x = 3

is 1372<b>3</b>413 divisible by 11 ?
YES, 13723413 = 11(1247583)

Answer 3

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Thanks bye