Question

The sum of two numbers is 9 and their difference is 7. Find the two numbers.8 and 14 and 56 and 39 and 0

Answer 1

Step 1

Given; The sum of two numbers is 9 and their difference is 7. Find the two numbers.

Step 2

Let the two numbers be x and y

`\begin{gathered} x+y=9--(1) \\ x-y=7---(2) \end{gathered}`

Step 3

Solve using the elimination method

`\begin{gathered} x+y=9 \\ - \\ x-y=7 \\ ------- \\ 0+2y=2 \\ 2y=2 \\ y=(2)/(2)=1 \end{gathered}`
`\begin{gathered} From\text{ equation 1, x+y=9} \\ x+1=9 \\ x=9-1 \\ x=8 \end{gathered}`

Answer;

`\begin{gathered} x=8,y=1 \\ So\text{ the two numbers are 8 and 1} \end{gathered}`