Study the pattern given below:

9 × 9 = 81

98 × 9 = 882

987 × 9 = 8883

9876 × 9 = 88884

x × 9 = y

What are the respective values of x and y?

From the given pattern, it can be observed that the number to be multiplied by 9 increases by 1 digit and the last digit is one less than the previous digit.

Also, the result obtained has as many 8s as there are digits in the number, which is multiplied by 9 and its units digit is equal to the number of 8s in the result.

Therefore, the last step of the given pattern = 98765 × 9 = 888885

∴ x = 98765

y = 888885

Thus, the values of x and y are 98765 and 888885.