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the sum of two numbers is equal to 58 and the largest exceeds by at least 12 find the two numbers

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The sum of two numbers is equal to 58 and the largest exceeds by at least 12. Find the two numbers

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Answer to a math question The sum of two numbers is equal to 58 and the largest exceeds by at least 12. Find the two numbers

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$\left\{\begin{array} { l } x+y=58 \\ x-y=12\end{array} \right.$

$\left\{\begin{array} { l } x=58-y \\ x-y=12\end{array} \right.$

$\left\{\begin{array} { l } x=58-y \\ x=12+y\end{array} \right.$

$58-y=12+y$

$y=23$

$x=12+23$

$x=35$

$\left( x, y\right)=\left( 35, 23\right)$

$\left\{\begin{array} { l } 35+23=58 \\ 35-23=12\end{array} \right.$

$\left\{\begin{array} { l } 58=58 \\ 12=12\end{array} \right.$

$\left( x, y\right)=\left( 35, 23\right)$

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