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12 October, 21:17

If the five digit number aa448 is divisible by 9, what digit does a represent?

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  1. 12 October, 21:21
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    a=1

    Step-by-step explanation:

    If the number is divisible by 9 the sum of its digits is divisible by 9 as well.

    The numbers 18, 27, 36 are divisible by 9. Check each of them.

    a+a+4+4+8=2a+16=18

    2a=2

    a=1

    2a+16=27

    2a=11

    a=5.5 - it is not the digit. So is not the solution.

    2a+16=36

    2a=20

    a=10 is not a digit, so isn't a solution

    any bigger number divisible by 9 (45,54,63 ...) wil not give the digit.

    So there is only 1 solution a=1
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