Find the value of z for which the number 471z8 is divisible by 9.

Question:

Find the value of z for which the number 471z8 is divisible by 9. Also, find the number.

Solution:

If a number is divisible by 9 , then the sum of the digits is also divisible by 9 .

Sum of the digits of the given number $=4+7+1+z+8=20+z$

$20+z=27$, for $z=7$

27 is divisible by 9 .

Therefore, $471 z 8$ is divisible by 9 if $z$ is equal to 7 .

The number is 47178 .

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