if 91z 5 is a multiple of 9 where z is a digit what might be the value of z?
Well, if 91z5 is a multiple of 9, then the sum of its digits must be a multiple of 9 as well. So let's do a little math here: 9 + 1 + z + 5 = 15 + z. Now, since 15 is already a multiple of 9, the value of z must be whatever it takes to make the sum a multiple of 9. So, z could be 0, as 15 + 0 = 15, which is still a multiple of 9. Or z could be 9, because 15 + 9 = 24, which is also a multiple of 9. Let's hope it's not a negative number, because I'm really not good at handling those!
To determine if 91z5 is a multiple of 9, we need to find the sum of its digits. In a multiple of 9, the sum of the digits must also be a multiple of 9.
The digits in 91z5 are 9, 1, z, and 5. The sum of these digits is 9 + 1 + z + 5 = 15 + z.
For 15 + z to be a multiple of 9, z must be a digit such that 15 + z is divisible by 9. Let's check the possible values of z:
- If z = 1, then 15 + 1 = 16, which is not divisible by 9.
- If z = 2, then 15 + 2 = 17, which is not divisible by 9.
- If z = 3, then 15 + 3 = 18, which is divisible by 9.
Therefore, if 91z5 is a multiple of 9, the value of z could be 3.
To determine if 91z5 is a multiple of 9, we need to check if the sum of its digits is divisible by 9.
The sum of the digits in 91z5 is 9 + 1 + z + 5 = 15 + z.
For 91z5 to be a multiple of 9, (15 + z) must also be divisible by 9.
Now, we need to find a value for z that satisfies this condition.
To do that, we can check all the possible values of z from 0 to 9 and see if (15 + z) is divisible by 9.
Let's go through the possibilities:
- If z = 0, then (15 + z) = (15 + 0) = 15, which is not divisible by 9.
- If z = 1, then (15 + z) = (15 + 1) = 16, which is not divisible by 9.
- If z = 2, then (15 + z) = (15 + 2) = 17, which is not divisible by 9.
- If z = 3, then (15 + z) = (15 + 3) = 18, which is divisible by 9.
Therefore, if 91z5 is a multiple of 9, the value of z can be 3.
Do you mean a 4-digit number 91z5?
The digits of any multiple of 9 add up to a multiple of 9.
So, 9+1+z+5 = 15+z
So, z=3 to make the sum 18.
9135 = 9*1015