Question

4. The sum of two numbers is 36. Twice the firstnumber minus the second is 6. Find thenumbers.

Answer 1

Let the first and second number be x and y respectively

The first step is to interprete the problem using mathematical symbols

From the first statement, we have:

`\text{ x + y= 36}`

From the second statement, we have:

`2x\text{ - y = 6}`

So, we have the system of linear equations:

`\begin{gathered} x\text{ + y = 36} \\ 2x\text{ - y =6} \end{gathered}`

The next step is to solve the system of equations simultaneously

Adding equation 1 to 2: