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

1.	Find the value of z for which the number 471z8 is divisible by 9. Also, find the number.
Answer» Here, our given number is 471z8, which is divisible by 9. We know that if number is divisible by 9 only when sum of digits of given number is divisible by 9. Hence, if 471z8 is divisible by 9, then, 4 + 7 + 1 + z + 8 = 0, 9, 18,… ∴ 20 + z = multiple of 9. Hence, z = (multiple of 9) – 20 Here, possible values for multiples of 9 is 27 Hence, z = 7 ∴ Possible number is 47178

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

Answer»

Here, our given number is 471z8, which is divisible by 9.

We know that if number is divisible by 9 only when sum of digits of given number is divisible by 9.

Hence, if 471z8 is divisible by 9, then,

4 + 7 + 1 + z + 8 = 0, 9, 18,…

∴ 20 + z = multiple of 9.

Hence, z = (multiple of 9) – 20

Here, possible values for multiples of 9 is 27

Hence, z = 7

∴ Possible number is 47178