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# Mathcounts!

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The difference between 2 integers is four, and the sum of two integers is sixteen. What is the absolute value of the difference of the squares of the integers?

Okay, ALL I can think of for this is guess and check. Is there a smarter method, and how?

Nov 10, 2019

#1
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You can make simple equations

\(x-y=4\)

\(x+y=16\)

Now solve... by elimination

\(2x=20\)

\(x=10\)

Now solve for y

\(10+y=16\)

\(y=6\)

So the difference between the squares of the integers is:

\(10^2-6^2=64\)

Nov 10, 2019
#3
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THANK YOU I AM AN IDIOT

tommarvoloriddle  Nov 10, 2019
#5
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I want to throw up right now... I don't know what I ate.

AUGUAUGH.

I was using superglue, and accelerator. I think I inhaled the chemicals too much.

ughhhhhhhhh

CalculatorUser  Nov 10, 2019
#8
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Not...

Safe????

tommarvoloriddle  Nov 10, 2019
#11
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yeah, don't inhale accelerator.

and wash your hands after using superglue.

I learned the lesson by having a sudden bout of nausea and almost threw up.

CalculatorUser  Nov 10, 2019
#12
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A very valuable piece of advice.

Oh yea, My sister joined!

She is MagicKitten!!!

And she frequently forces me to give up my computer...

T-T

tommarvoloriddle  Nov 10, 2019
#13
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I do not!

And you are a DumDumBubbleGum

MagicKitten  Nov 10, 2019
#14
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T-T

I am not!

tommarvoloriddle  Nov 10, 2019
#2
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a - b = 4,  a +b = 16, solve for a, b
a = 10  and   b=6
Abs[10^2 - 6^2] = 64

Nov 10, 2019
#4
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sorry, I'm dumb, what are abs?

tommarvoloriddle  Nov 10, 2019
#6
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the muscles on my belly.

no, im kidding, its absolute value.

CalculatorUser  Nov 10, 2019
#7
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Absolute !!.

Guest Nov 10, 2019
#9
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OHhhhhh T-T

When you a math nub be like

tommarvoloriddle  Nov 10, 2019
#10
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#Pectoralis Major

tommarvoloriddle  Nov 10, 2019
#15
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Lol that is funny

CalculatorUser  Nov 10, 2019
#16
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Oof- its all I can remember from my PE class

tommarvoloriddle  Nov 10, 2019