Question

16x687 is divisible by 9 if the digit x is _____.​

Answer 1

Answer:

value of digit  $x$ is 8

Step-by-step explanation:

any number is divisible by 9 if sum of the digits in given number is also divisible by 9

given number is 16$x$687

so (1+6+$x$+6+8+7) should be a multiple of 9

⇒(28+$x$) should be divisible by 9

⇒(28+$x$) is divisible by 9 if $x$ is 8

⇒ because (28+8) = 36 divisible by 9

so value of x is 8