Question

36x is a multiple of 11 where x is a digit. the value of x is​

Answer 1

Answer:

363 is a multiple of 11 hhfgh

Answer 2

SOLUTION

GIVEN

36x is a multiple of 11 where x is a digit

TO DETERMINE

The value of x

CONCEPT TO BE IMPLEMENTED

Divisibility rule of 11 :

A number is divisible by 11 if the difference of sum of the digits in the odd places and the sum of the digits in the even places is a multiple of 11 or zero

EVALUATION

Here the given number is 36x where x is a digit

Digits in the odd places = 3 , x

Sum of the digits in the odd places

= 3 + x

Digits in the even places = 6

The difference of sum of the digits in the odd places and the sum of the digits in the even places

= ( 3 + x ) - 6

= x - 3

Now x - 3 is a multiple of 11 or zero

So x - 3 must be 0 ( since x is a digit )

$\displaystyle \sf{ x - 3 = 0}$

$\displaystyle \sf{ \implies x = 3 }$

FINAL ANSWER

Hence the required value of x = 3

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