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Dora is thinking of a number between 500 and 600

When she divides it by a 1-digit number it has a remainder of 4
What could Dora’s number be?

User Daslicht
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1 Answer

6 votes

9514 1404 393

Answer:

500 ÷ 8 = 62 r 4, for example

Explanation:

In order to have a remainder of 4, the divisor must be greater than 4, so could be any of 5, 6, 7, 8, 9.

The corresponding numbers could be any of ...

504 +5n . . . 0 ≤ n ≤ 19

502 +6n . . . 0 ≤ n ≤ 16

501 +7n . . . 0 ≤ n ≤ 14

500 +8n . . . 0 ≤ n ≤ 12

508 +9n . . . 0 ≤ n ≤ 10

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For example, with the divisor being 6, and n=13, the number could be ...

580 = 6·96 + 4

User Cmv
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