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Question
If 84763A9 is divisible by 3, find A.
If 84763A9 is divisible by 3, find A.
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Solution
The correct options are
A 2
C 5
D 8
A number is divisible by 3 if the sum of all the individual digits is evenly divisible by 3.
∴ 84763A9 = 8 + 4 + 7 + 6 + 3 + A + 9
= 37 + A
If A = 2,
37 + 2 = 39 which is divisible by 3.
If A = 3,
37 + 3 = 40 which is not divisible by 3.
If A = 5,
37 + 5 = 42 which is divisible by 3.
If A = 8,
37 + 8 = 45 which is divisible by 3.
Hence, the number 84763A9 will be divisible by 3 if A = 2, 5 or 8.
A 2
C 5
D 8
A number is divisible by 3 if the sum of all the individual digits is evenly divisible by 3.
∴ 84763A9 = 8 + 4 + 7 + 6 + 3 + A + 9
= 37 + A
If A = 2,
37 + 2 = 39 which is divisible by 3.
If A = 3,
37 + 3 = 40 which is not divisible by 3.
If A = 5,
37 + 5 = 42 which is divisible by 3.
If A = 8,
37 + 8 = 45 which is divisible by 3.
Hence, the number 84763A9 will be divisible by 3 if A = 2, 5 or 8.
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