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Question from parth, a student:

the 6 digit # 63x904 is an even multiple of 27 what is x

Hi,

$27 = 3 \times 9$ so $63x904$ is divisible by $9.$ If an integer is divisible by $9$ the sum of its digits is divisible by $9$ so

\[6 + 3 + x + 9 + 0 + 4\]

is divisible by 9, and x is an integer. What is x?

Penny

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