Question

if the sum of the digits of any integer lying between 100 and 1000 is subtracted from the number the result always is​

Answer 1

Answer:

ans is given below

Step-by-step explanation:

Number = 100x + 10y + z Sum of digits = x + y + z Difference = 100x + 10y + z – x – y – z = 99x + 9y = 9 (11x+y)If the sum of digits of any integer lying between 100 and 1000 is subtracted from the number, the result will always be divisible by, 9.Nov 28, 2016

Answer 2

Answer:

divisible by 9

Step-by-step explanation:

Number = 100x + 10y + z Sum of digits = x + y + z Difference = 100x + 10y + z – x – y – z = 99x + 9y = 9 (11x+y)If the sum of digits of any integer lying between 100 and 1000 is subtracted from the number, the result will always be divisible by 9.