if 15z7 is a multiple of 3 where 'z' is a digit , find the value of z
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Answered by
4
Answer:
acc. to divisibility rule of 3
sum of digits should be the multiple of 3
therefore, we have 15Z7
1+5+Z+7= 13+Z
to make it multiple of 3 it should also come in table of 3
so after 13 it can be nearest to 15
15-13=Z
2=Z
hence answer is 2
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Answered by
0
Hey there!
The divisibilty rule of three is if the sum of digits is divisible by three then the number of divisible by three
It is given the 15z7 is divisible by three.this means that 1+5+z+7 is divisible by three
that is 13+z is divisible by three.
So considering all digits from 0 to 9 the following can be the values of z
13+2=15 which is divisible by three
13+5=18 which is divisible by three
13+8=21 which is divisible by three
Hope It helps!
PS;- I gave three values for Z because it is not mentioned in the question that z has to be the smallest number.So all three number 1527,1557 and 1587 are multiples of three
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