Question

if X + Y + Z = 9 many three digit number xyz is always divisible by

Answer 1

three digit number will be divisible by 9 always

Answer 2

Answer:

Three digit number xyz is always divisible by 3 and 9

Step-by-step explanation:

Divisibility rule of 3 : If Sum of digits of number is divisible by 3 then the number is divisible by 3.

Divisibility rule of 9 : If sum of digits of number is divisible by 9 then the number is divisible by 9.

We are given that x + y + z = 9

⇒ Sum of digit of 3 digit number xyz  = 9

9 is divisible by 3. So, xyz is divisible by 3

9 is also divisible by 9, So, it is divisible by 9.

Therefore, Three digit number xyz is always divisible by 3 and 9