Monday, 22 September 2014

mathematics - How fast can you solve this?


I posted this to compare times with individuals that possess intellects lightyears beyond my own. I clocked in at 16 mins for this answer.


I know my time will be overtaken by a time that's less than half of what it was.


But instead of getting too wrapped up into the idea of it happening. I want to be the first to witness how an IQ of 130, 140, 150, or 160 functions/processes information from my own intelligence.


Rules: No paper or notes, but a calculator is accepted.


Post the exact time min wise of how long it took.


And obviously give the answer.


http://i.stack.imgur.com/BPJBh.jpg




Answer



Took one minute to solve.



This question has a reasonably easy solution if you can figure out the pattern in the the provided equations.

Look at the first row equation and the second column equation.
$a+b =8$
$b+c =8$

Notice that there is a common variable in the equations (the intersection of the equations in the picture denotes the common variable.)

Thus we can rewrite the set of equations as:
$a+b=8$
$c+b=8$

Subtracting these two equations can make us realize that $a=c$. Which means the top left box is equal to bottom right box.



The problem can be rewritten as




enter image description here



The values now seem fairly easy to compute.



$a+c=13$
$c-a=6$

By adding the above equations, the variable $c$ can be resolved. By evaluation of $c$ and substituting into either of the above equations, variable $a$ can be calculated. After which variable $b$ can be calculated by substituting variable $a$ in $a+b=8$.



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