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anonymous

  • one year ago

The sum of two numbers is 170 and their difference is 26. Find the two numbers. Write the solution as an ordered pair.

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  1. Michele_Laino
    • one year ago
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    your problem can be modeled by the subsequent system: \[\Large \left\{ \begin{gathered} m + n = 170 \hfill \\ m - n = 26 \hfill \\ \end{gathered} \right.\] where m, and n are the requested numbers

  2. anonymous
    • one year ago
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    how do i put it in an order pair

  3. Michele_Laino
    • one year ago
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    you have to compute their values, first

  4. anonymous
    • one year ago
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    i don't know how to do that

  5. Michele_Laino
    • one year ago
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    for example, solve the second equation for m, what do you get?

  6. anonymous
    • one year ago
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    i don't know

  7. anonymous
    • one year ago
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    is it 72 and 98?

  8. Michele_Laino
    • one year ago
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    another way, is: if I sum side by side those 2 equations together, I get: \[\Large m + n + m - n = 170 + 26\] please simplify

  9. Michele_Laino
    • one year ago
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    add*

  10. mathmate
    • one year ago
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    Alternatively, in the \(special\) case when sum and difference are given, we can do the following: bigger number = (sum+difference)/2 smaller number = (sum-difference)/2 For example: Given sum = 20, difference = 8 bigger number = (20+8)/2 = 14 smaller number = (20-8)/2 = 6

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