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2 November, 02:24

Let $d$ be a positive number such that when $109$ is divided by $d$, the remainder is $4.$ Compute the sum of all possible two-digit values of $d$.

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  1. 2 November, 02:53
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    (109 - 4) / d = n; where n is a two-digit number

    105/3 = 35

    105/5 = 21

    105/7 = 15

    The sum all two-digit values are: 3 + 5 = 8

    2 + 1 = 3

    1 + 5 = 6
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