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 $d$.

Question

Mathematics

Alonso Nash

20 July, 04:16

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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Klaus · Answer 1

(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