a number divided by 25 leaves remainder 9 . what is that number?

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839

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Guest Sep 23, 2015

Guest · Answer 1 · 2015-09-23T11:45:55

x / 25 = 9 -> x = 225

heureka · Answer 2 · 2015-09-23T11:58:56

A number divided by 25 leaves remainder 9 . what is that number?

$x\equiv 9 \pmod {25} \\ \text{or}\\ x-9 = z\cdot 25\\ x = 9+z\cdot 25 \qquad z \in Z\\\\ \mathbf{ x = \dots,-41, -16, 9, 34, 59, 84,\dots }$