if 31zt is a multiple of 3, where z is a digit, what might be the value of x
Answers
Correct question:-
If 31z5 is a multiple of 3, where z is a digit, what might be the value of x?
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Answer:-
Since 31z5 is a multiple of 3.
According to the divisibility rule of 3, the sum of all digits should be a multiple of 3.
So 3+1+z+5= 9+z
Therefore 9+z is absolutely a multiple of 3.
Its possible only if the value of 9+z is any of the values: 0,3,6,9,12,15 so on....
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At z= 0,9+z= 9+0= 9
At z=3, 9+z=9+3=12
At z=6, 9+z=9+6=15
At z=9, 9+z=9+9=18
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So its proved that the value of 9+z can be 9 or 12 or 15 or 18.
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Hence 0,3,6 or 9 are four possible answers for z.
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Answer:
I hope it is helpful to you
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