Question

what value must be given to x to make 8597 x 65 is exactly divisible by 11​

Answer 1

Answer:

the value of x =x

therefore 8597×65=558805

=558805÷11=5800

=x=5800

Answer 2

The value of x must be 7 to make 8597 x 65 is exactly divisible by 11​

Solution:

Given that,

What value must be given to x to make 8597 x 65 is exactly divisible by 11​

Divisibility rule for 11

The sum of the numbers in the even positions is equal to sum of the odd numbers in the odd positions, then the number is divisible by 11

Therefore, for 8597 x 65

Sum of numbers in even place = 5 + 7 + 6 = 18

sum of numbers in odd place =  8 + 9 + x + 5 = 22 + x

The difference = (22 + x) - 18 = x + 4

We want x + 4 to be divisible by 11 and x has to be a digit

Therefore, x has to be 7

7 + 4 = 11 ; divisible by 11

Thus, value of x must be 7 to make 8597 x 65 is exactly divisible by 11​

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