Answered

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

Sagot :

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:

[tex]\begin{gathered} x+y=23 \\ x-y=11 \end{gathered}[/tex]

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

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

[tex]\begin{gathered} 2x=34 \\ x=\frac{34}{2}=17 \end{gathered}[/tex]

From the first equation: y = 23 - x

substitute with x to find y

[tex]y=23-17=6[/tex]

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

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