Question

A number between 280 and 380, when rounded to the nearest hundred, is 45 less than the original number. What number is the original number?

Answer 1

The original number that will give us the desired result lies between:

$\begin{gathered} 280\text{ and 349} \\ \text{Because, when we round up or round down the values in this range} \\ to\text{ the nearest hundred, it will give us 300.} \\ \\ So\text{ let the original number be x} \\ 300=x-45 \\ 300+45=x \\ 345=x \\ The\text{ original number is 345.} \\ \end{gathered}$