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# 17. What is the value of two numbers if their sum is 120 and their difference is 140?

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17. What is the value of two numbers if their sum is 120 and their difference is 140?

May 25, 2020

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17. What is the value of two numbers if their sum is 120 and their difference is 140?

$$\begin{array}{|rcll|} \hline \mathbf{a+b} &=& \mathbf{120} \\ \mathbf{b} &=& \mathbf{120 -a} \qquad (1) \\\\ \mathbf{a-b} &=& \mathbf{140} \\ a-(120 -a) &=& 140 \\ 2a-120 &=& 140 \\ 2a &=& 260 \\ \mathbf{a} &=& \mathbf{130} \\\\ \mathbf{b} &=& \mathbf{120 -a} \\ b &=& \mathbf{120 -130} \\ \mathbf{b} &=& \mathbf{-10} \\ \hline \end{array}$$

May 25, 2020