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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.
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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Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3your 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
 one year ago
Best ResponseYou've already chosen the best response.0how do i put it in an order pair

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3you have to compute their values, first

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i don't know how to do that

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3for example, solve the second equation for m, what do you get?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3another way, is: if I sum side by side those 2 equations together, I get: \[\Large m + n + m  n = 170 + 26\] please simplify

mathmate
 one year ago
Best ResponseYou've already chosen the best response.0Alternatively, in the \(special\) case when sum and difference are given, we can do the following: bigger number = (sum+difference)/2 smaller number = (sumdifference)/2 For example: Given sum = 20, difference = 8 bigger number = (20+8)/2 = 14 smaller number = (208)/2 = 6
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