Question

17. There are nine three-digits numbers with distinct units digits. Each number is reversed and the reversed number is subtracted from the original number. The results were found to have an average of 0. If for each number, the hundreds digit is not less than its units digit, find the average of the hundreds digits of the greatest and the least numbers.
(A) 2
(B) 5
(C) 6
(D) 7​

Answer 1

Answer:

Step-by-step explanation:

5 is the right answer.

111, 222, 333, 444, 555, 666, 777, 888, 999

satisfies all the conditions

1. 100th digit is not less than unit digit.

2. If any number reversed we get 0 as average

example : 111 -111 /2 = 0

now taking digits of 100th position of the greatest and least number is 1 and 9

so average will be 9+1 / 2 = 5.