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Find 2 numbers whose sum is 23 and the difference is 11. Please help with homework

User Hype
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1 Answer

4 votes

Given:

2 numbers whose sum is 23 and the difference is 11

Let the numbers are (x) and (y)

so, we have the following equations:


\begin{gathered} x+y=23 \\ x-y=11 \end{gathered}

Solve the equations to find (x) and(y)

Add the equations will cancel the value of (y) then solve for x


\begin{gathered} 2x=34 \\ x=(34)/(2)=17 \end{gathered}

From the first equation: y = 23 - x

substitute with x to find y


y=23-17=6

So, the answer will be the numbers are 6, 17

User Ribeiro
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