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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