Question

The sum of two numbers is 16. Their diference is 20. Find the numbers

Answer 1

Step 1

Let the numbers be x and y and let us assume x is the bigger number

The equations then are;

$\begin{gathered} x+y=16----(1) \\ x-y=20--(2) \end{gathered}$

Step 2

Add equations 1 and 2

Hence,

$\begin{gathered} 2x=36 \\ \frac{2x}{2}=\frac{36}{2} \\ x=18 \end{gathered}$

Step 3

Find the value of y from equation 2

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