anonymous
  • anonymous
The sum of two numbers is 170 and their difference is 26. Find the two numbers. Write the solution as an ordered pair.
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Michele_Laino
  • Michele_Laino
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
anonymous
  • anonymous
how do i put it in an order pair
Michele_Laino
  • Michele_Laino
you have to compute their values, first

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anonymous
  • anonymous
i don't know how to do that
Michele_Laino
  • Michele_Laino
for example, solve the second equation for m, what do you get?
anonymous
  • anonymous
i don't know
anonymous
  • anonymous
is it 72 and 98?
Michele_Laino
  • Michele_Laino
another way, is: if I sum side by side those 2 equations together, I get: \[\Large m + n + m - n = 170 + 26\] please simplify
Michele_Laino
  • Michele_Laino
add*
mathmate
  • mathmate
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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