Question

Dora has to pick a number between 400 and 500 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 be Dora’s number

Answer 1

Given:

When Dora divides the number between 500 and 600 by a 1 digit number gives the remainder 4.

Let x be the one-digit number that divides the number between 500 and 600. It gives the remainder 4.

$\begin{gathered} 500+(10\times n)+i \\ n=0,1,2,..\ldots\text{.}.9 \\ \text{For i=4,9} \end{gathered}$

It gives the remainder 4.

Therefore,

$\begin{gathered} 500+10n+4\text{ and 500+10n+9 divided by 5 will give the remainder 4} \\ n=0,1,2,\ldots9 \end{gathered}$

Answer:

$\begin{gathered} 504+10n \\ 509+10n \\ n=0,1,2,\ldots.9 \\ \text{Divided by 5} \end{gathered}$