Solve 2x + 2y + 50 = 2x + 2y + 50 for x: Problem Solving with 2D Matrices

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Discussion Overview

The discussion revolves around a problem involving the ages of two individuals and the application of 2D matrices in solving it. Participants are attempting to set up equations based on the problem statement but express confusion regarding the sufficiency of the information provided.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant states the relationship between the ages as x - y = 6, assuming the male is older.
  • Another participant points out that the second equation derived from the problem is trivial, suggesting that there is not enough information to solve for the ages.
  • A participant expresses confusion about the next steps in setting up the problem and seeks guidance.
  • One participant suggests verifying the problem statement with the instructor due to perceived ambiguity.

Areas of Agreement / Disagreement

Participants generally agree that the information provided in the problem may be insufficient to arrive at a solution, but there is no consensus on how to proceed with the problem setup.

Contextual Notes

There is a noted ambiguity in the problem statement, particularly regarding the sufficiency of information to solve the equations derived from the ages.

vepore2
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I just started taking geometry and discrete math and we're just learning 2d matrices. Here is a problem I can't figure out:

1) My wife and I are 6 years apart in age. If you double the sum of our ages and add 50, you get the same number as when you add 25 to the sum of our ages and double it. How old am I?

Ok so let x - be the age of him, and y be his wifes age
We can assume that he is older then his wife so

x - y = 6
Then 2(x + y) + 50 = 2(x + y + 25)

Here's is where I'm confused
Can someone tell me the next few steps into setting up this problem.
 
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I would suggest checking that is exactly what the question states - there clearly isn't enough information there to solve. Ask the instructor if they've made a mistake.
 
Originally posted by vepore2
x - y = 6
Then 2(x + y) + 50 = 2(x + y + 25)
This is how I understand it as well. But the second equation is trivial, so you do not have enough information.
 
Thanks I'll ask the teacher tomorow.
 

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