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# Given that the number $\overline{67y19}$ is divisible by 9, where $y$ is a digit, what are the possible values of $y$?

Given:

Given that the number $\overline{67y19}$ is divisible by 9, where $y$ is a digit.

To do:

We have to find the possible values of $y$.

Solution:

The number $\overline{67y19}$ is divisible by 9.

This implies,

The sum of its digits will also be divisible by 9.

Therefore,

$6 + 7 + y + 1+ 9$ is divisible by 9.

$23 + y$ is divisible by 9

If $y=4$, $23+4=27$ is divisible by 9.

The possible value of $y$ is $4$.

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