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1 March, 09:17

An odd number between 301 and 370 has three different digits. If the sum of its digits is five times the hundreds digit, find the number. Show your work.

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  1. 1 March, 09:37
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    For the answer to the question above,

    5x3 (the hundreds digit) = 15

    so 3+x+y=15. 15-3=12. x+y=12.

    No even number + odd number can be = 12, so both digits must be odd.

    That leaves us with 3+3+z=15, 3+3+x = 15 and 3+5+y = 15. 3+1+9 (highest odd digit) = 13 so that is wrong.

    3+3+9 = 15, but there is a double digit, so wrong again. 3+5+7=15. 357 is the answer.
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