3 Here is a numbe machine. The number machine is not complete. When the input is 8, the output is 154 Complete the number machine. (Total for Question 13 is 2 marks)

## Step 1: Understand the Problem<br />Our mission is to discover the operation performed by the number machine by analyzing the input-output pair which is \(8\) leading to \(154\).<br /><br />## Step 2: Find a Relationship between Input and Output<br />Given that when input is \(8\), the output is \(154\), we need to identify the mathematical operation(s) converting \(8\) to \(154\).<br /><br />## Step 3: Deduce the Operation<br />We know there must laboratory a multiplier, considering this scenario.<br />In this aspect, we must find a multiplier such that when multiplied with \(8\), would give a number close to \(154\). Also, addition or subtraction of a digit would give us \(154\).<br /><br />## Step 4 : Try Out MultipDan factions<br /><br />Sowdevoip when \(8\) is multiplied by \(19\), (as \(8 \times 19 = 152\)), one arises at a number which is two steps far from \(154\). So the likely operation in the number machine is that the said number is iexpect multiplied by \(19\) and then welye should add \(2\) to the regoeniim questo vasuhi.<br /><br />### \( 8 \times 19 + 2 = 154 \).