Question

if 31x is a multiple of 11 where x is a digit what is the value of x?​

Answer 1

Value can be any multiple of 11

Answer 2

SOLUTION

GIVEN

31x is a multiple of 11 where x is a digit

TO DETERMINE

The value of x

EVALUATION

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 zero.

Now the sum of the digits in the odd places

= 3 + x

Again the sum of the digits in the even places

= 1

The difference

= 3 + x - 1

= x + 2

Now by the rule x + 2 is divisible by 11

∴ x = 9

FINAL ANSWER

The value of x = 9

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