Answer:
In order to be able to find the greatest number such that, x192y is divisible by 18, you need to determine the conditions under which a number is divisible by 18.
A number is divisible by 18 if it is divisible by both 9 and 2,
To check if a number is divisible by 9, we can add up its digits. If the sum is divisible by 9, then the number is divisible by 9,
an example being, consider the number x192y. In order To see if it is divisible by 9, you need to add up the digits: x + 1 + 9 + 2 + y.
Since you want to find the greatest number, you should find the largest possible value for x, y, and still have the sum divisible by 9.
The largest single-digit number is 9. So, you can choose x = 9 to maximize the value of x.
focus on y. The largest single-digit number is 9. So, you can choose y = 9 to maximize the value of y
Substituting these values, you have 91929.
Therefore, the greatest number such that x192y is divisible by 18 is 91929.