Question

If 6130x782 is divisible by 11, where x is a digit, what is the value of x ?

Answer 1

Answer:

6130x782

Step-by-step explanation:

6 + 3 + x + 8 = 17 + x

1+0+ 7 + 2 = 10

x = 6

61304782 is divisible by 11

Answer 2

Step-by-step explanation:

Here we get from 6130x782

$6 - 1 + 3 - 0 + x - 7 + 8 - 2 = 7 + x$

Let

$7 + x = 11k \\ = > x = 11k - 7$

For k=1 we get

$x = 4$