Question

756x is a multiple of 11 find x

Answer 1

Answer:

x = 8

Step-by-step explanation:

Divisibility rule of 11 : If in any number the sum of the numbers in the even positions = sum of the odd numbers in the odd positions, then the number is divisible by 11. Alternatively, the difference of the sum of the numbers in even positions and the sum of the numbers in the odd positions = 11.

Odd positions = 5 + x

Even positions = 7+6 = 13

So,

5 + x = 13

⇒x = 13 - 5

⇒x = 8

We took it as equal because if we add 9 and 5 then it will be 14, 14-13=1 which is not divisible by 11. (We take 9 as it is the largest single digit number in place of x )