Solve the Math Puzzle: 66+935+1389

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Discussion Overview

The discussion revolves around a mathematical puzzle involving the expression 66+935+1389, with participants exploring potential patterns or rules based on previous examples. The scope includes mathematical reasoning and exploratory problem-solving.

Discussion Character

  • Exploratory
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant presents a series of equations suggesting a relationship between the sums and their decimal results, proposing that 66+935+1389 could be evaluated similarly.
  • Another participant attempts to derive coefficients for a matrix equation based on the provided examples, arriving at a numerical result but expressing uncertainty about the intended approach.
  • There is a request for clarification on whether the results should be expressed in decimal form or if an exact expression is available.
  • A participant acknowledges an error in their previous formulation of the matrix equation, attempting to correct their statement without resolving the underlying question.
  • Several participants express impatience regarding the lack of a definitive solution to the puzzle.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the solution to the puzzle, and multiple approaches and interpretations are presented without resolution.

Contextual Notes

There are unresolved mathematical steps and assumptions regarding the relationships between the numbers involved, as well as the format of the final answer.

Dai
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If
28+453+9012=81.534
91+712+1024=49.091
Then
66+935+1389=?
 
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Let
[math]\left [ \begin{matrix} a & b & c \\ a & b & c \end{matrix} \right ] ~ \left [ \begin{matrix} 28 & 91 \\ 453 & 712 \\ 9012 & 1024 \end{matrix} \right ] = \left [ \begin{matrix} 81.534 \\ 49.091 \end{matrix} \right ] [/math]

Letting a = 1 gives b = -0.07265695 and c = 0.009592496.

Thus
[math] \left [ \begin{matrix} a & b & c \end{matrix} \right ] ~ \left [ \begin{matrix} 66 \\ 935 \\ 1389 \end{matrix} \right ] = 11.389770769[/math]

But you probably didn't mean that. (Tongueout)

-Dan
 
Nope :)
But nice try tho
 
The decimal values...do you have an exact expression for them or is your answer also going to be in decimal form?

And hey! It works!

-Dan
 
topsquark said:
[math]\left [ \begin{matrix} a & b & c \\ a & b & c \end{matrix} \right ] ~ \left [ \begin{matrix} 28 & 91 \\ 453 & 712 \\ 9012 & 1024 \end{matrix} \right ] = \left [ \begin{matrix} 81.534 \\ 49.091 \end{matrix} \right ] [/math]
My argument has been made, but I made a ghastly error in the way I wrote it. I am posting to correct this. I meant to say
[math]\left [ \begin{matrix} a & b & c \end{matrix} \right ] ~ \left [ \begin{matrix} 28 & 91 \\ 453 & 712 \\ 9012 & 1024 \end{matrix} \right ] = \left [ \begin{matrix} 81.534 & 49.091 \end{matrix} \right ] [/math]

-Dan
 
Sooooooo... What's the solution? (Yes, I'm impatient! (Time) )

-Dan
 
topsquark said:
Sooooooo... What's the solution? (Yes, I'm impatient! (Time) )

-Dan

Dan, in 10 hours it will have been a week...so at that time the OP should feel free to post their solution. (Yes)
 

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