Example Question - number

Finding a Specific Number

<p>Let the three-digit number be represented as \(x\).</p> <p>When we append the digit 2 to the right of \(x\), we get the new number \(10x + 2\).</p> <p>According to the problem, this new number is 106 more than the original number:</p> <p>$$10x + 2 = x + 106$$</p> <p>Simplifying gives:</p> <p>$$10x + 2 - x = 106$$</p> <p>$$9x + 2 = 106$$</p> <p>Subtracting 2 from both sides:</p> <p>$$9x = 104$$</p> <p>Dividing both sides by 9 gives:</p> <p>$$x = \frac{104}{9} \approx 11.56$$</p> <p>Since \(x\) must be a three-digit integer, we reevaluate earlier calculations and constraints.</p>