(b) If 3125 is a multiple of 3, where z is a digil, what might be the values of Z?
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Answered by
10
QUESTION :
If 31z5 is a multiple of 3, where z is a digit,
what might be the values of Z?
Answer:
0,3,6 or 9
Step-by-step explanation:
Since 31z5 is a multiple of 3 ,the sum of its digits must be a multiple of 3 i.e. 3 + 1 + z + 5 = 9 + z.
Hence 9+z is a multiple of 3
Since z is a single digit which can value from 0−9,
Possible values of z will be,
9+0=9
9+3=12
9+6=15
9+9=18
Thus, there can be four possible values i.e. 0,3,6 or 9
Answered by
2
Answer:
sum of numbers should be multiple of 3
3+1+5+z
9+z
value of z can be 0,3,6,9.
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