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1. Since the number 21y5 is a multiple of 9.
So, the sum of its digits 2+1+y+5=8+y is a multiple of 9.
∴(8+y) is either 0 or 9 or 18 or ...
Since y is a digit, so (8+y) must be equal to 9.
i.e., 8+y=9
⇒y=9−8=1
2. Given that 31z5 is a multiple of 9.
According to the divisibility rule of 9, the sum of all the digits should be a multiple of 9.
Therefore,
3+1+z+5=9 OR 18
⇒z=9−9=0
⇒z=18−9=9
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