Grandpa and Grandma's Combined Age: How Old Are They?

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Discussion Overview

The discussion revolves around a word problem involving the combined age of Grandpa and Grandma, specifically how to determine their individual ages based on a given relationship. The scope includes algebraic reasoning and problem-solving techniques.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant presents the problem stating that Grandpa and Grandma have a combined age of 126 years and poses a complex relationship between their ages.
  • Several participants express that they find the problem easy, suggesting it is a straightforward algebra problem.
  • Another participant mentions the challenge of understanding the wording of the problem, indicating that comprehension can be a barrier even if the math is simple.
  • One participant provides a mathematical formulation of the problem using two linear equations, while another suggests it could be solved with just one unknown.
  • There is a light-hearted exchange about skills in different subjects, indicating a friendly tone among participants.

Areas of Agreement / Disagreement

Participants generally agree that the problem is solvable with algebra, but there is a divergence in opinions regarding its difficulty, with some finding it easy and others acknowledging the challenge of word problems.

Contextual Notes

Some participants note the difficulty in translating the problem's wording into mathematical expressions, which may affect their ability to solve it.

Borek
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Granpda and Grandma have 126 years togehter. How old is Grandma and how old is Grandpa, if Grandpa is twice older then Grandma was when Grandpa was as old as Grandma is now?
 
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Grandpa is 72 and grandma is 54. 18 years ago, he was 54 (grandma's age now) and she was 36. He is now twice that age.
 
I had no access to internet for 80 hours and only one answer in the meantime? Too easy or too difficult? :wink:
 
Too easy. I started writing an answer but jimmy beat me to it.
 
Too easy. This is a straight-forward algebra problem, not really a brain teaser.
 
jimmysnyder said:
... straight-forward algebra ...

I agree.

P + M = 126
P = 2 ( M - (P-M) )

2 linear equations in 2 unknowns.
 
It can be even done with just unknown, what I was always finding difficult was not just solving, but understanding the question. But if you find it easy I can only bow to your skills :wink:
 
Yes, I admit I've known a lot of people who do struggle with word problems like this. The key is translating the written language into the language of math, much like I did 2 posts ago.

In return, I'll bow to your chemistry skills and knowledge :smile: and we'll call it even.
 

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