Redflame2112 would like to know your location

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4170 posts

#1 h Nov 11, 2021, 4:57 PM • 24 Y

Y by sugar_rush, fidgetboss_4000, centslordm, RedFlame2112, CyclicISLscelesTrapezoid, rg_ryse, suvamkonar, megarnie, mathlearner2357, ObjectZ, jhu08, rayfish, ihatemath123, HamstPan38825, mahaler, asimov, HWenslawski, son7, ryanbear, doulai1, EpicBird08, mathmax12, YBSuburbanTea, ostriches88

What is the value of $\frac{(2112-2021)^2}{169}$ ?

$\textbf{(A) }7\qquad\textbf{(B) }21\qquad\textbf{(C) }49\qquad\textbf{(D) }64\qquad\textbf{(E) }91$

This post has been edited 2 times. Last edited by john0512, Oct 16, 2022, 2:43 AM

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Mathlete2017

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#2 h Nov 11, 2021, 4:59 PM • 1 Y

Y by HWenslawski

removed $\text{[math]}$

This post has been edited 1 time. Last edited by Mathlete2017, Nov 11, 2021, 5:41 PM

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TharunM

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#3 h Nov 11, 2021, 4:59 PM • 1 Y

Y by HWenslawski

agreed it was c

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Kinglogic

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Kinglogic

#4 h Nov 11, 2021, 5:00 PM • 3 Y

Y by chessauda, HWenslawski, gii_24ui

$2112-2021=91$

$169=13^2$

$\frac{91}{13}=7$

$\frac{91^2}{13^2}=\frac{91}{13}^2=7^2=49$

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ajax31

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ajax31

#5 h Nov 11, 2021, 5:01 PM • 2 Y

Y by shakour18, gii_24ui

Yes, I can confirm C. $2112-2021=91=7\cdot13$ . We then have
$\frac{7\cdot13\cdot7\cdot13}{13\cdot13}=7\cdot7=49$

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ihatemath123

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ihatemath123

#6 h Nov 11, 2021, 5:02 PM • 22 Y

Y by OliverA, arguj111, Facejo, reiboaisikao, JimY, rg_ryse, frogcoder, andrewwang2623, Bradygho, jhu08, tigerwu01, suvamkonar, asimov, rayfish, megarnie, EpicBird08, aidensharp, juicetin.kim, jessiewang28, alexanderhamilton124, zhenghua, MathRook7817

POV: you spent 30 seconds calculating 2112-2021

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Kinglogic

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Kinglogic

#7 h Nov 11, 2021, 5:03 PM

Y by

ihatemath123 wrote:

POV: you spent 30 seconds calculating 2112-2021

POV: you thought 91 was prime

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Jwenslawski

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Jwenslawski

#8 h Nov 11, 2021, 5:04 PM

Y by

I got C.

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PEKKA

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PEKKA

#9 h Nov 11, 2021, 5:04 PM

Y by

POV: You spent a minute calculating 2112-2021 then thought 91 was prime

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Bradygho

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#10 h Nov 11, 2021, 5:05 PM

Y by

ihatemath123 wrote:

POV: you spent 30 seconds calculating 2112-2021

LOL same here I subtracted wrong and got 81 then I was confused

Luckily i wisened up and realized it had to be 91 so I was able to not lose that much time :ninja:

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coolmath_2018

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#11 h Nov 11, 2021, 5:05 PM

Y by

when you almost put A and forget to square and thankfully correct your mistake

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lethan3

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#12 h Nov 11, 2021, 5:06 PM • 15 Y

Y by rondoallaturca, Feeshies486, JimY, AOPSUser2357, Rubikscube3.1415, jhu08, rayfish, suvamkonar, asimov, eagles2018, vncnt, agentmath, EpicBird08, Zhaom, pog

I tried to use difference of squares.

Yes, difference of squares.
Then spent a minute wondering why 4133 is not divisible by 13.

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618173

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618173

#13 h Nov 11, 2021, 5:07 PM

Y by

lethan3 wrote:

I tried to use difference of squares.

Yes, difference of squares.
Then spent a minute wondering why 4133 is not divisible by 13.

YES SAME EXACTLY I THOUGHT IT WAS DIFFERENCE OF SQUARES TOO

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ChrisWren

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#14 h Nov 11, 2021, 5:07 PM • 1 Y

Y by RedFlame2112

Redflame2112 would like to know your location

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MrMustache

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#15 h Nov 11, 2021, 5:09 PM

Y by

ihatemath123 wrote:

POV: you spent 30 seconds calculating 2112-2021

POV: you started doing 2112^2

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programmeruser

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#50 h Nov 9, 2022, 8:46 PM

Y by

lol when i did this when i was bad at math i thought it was difference of first squares at first before i looked closer
anyways
sol

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FaThEr-SqUiRrEl

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#51 h Nov 9, 2022, 8:48 PM

Y by

ihatemath123 wrote:

POV: you spent 30 seconds calculating 2112-2021

Nope. just didn't do the math.

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farhad.fritl

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#52 h Nov 20, 2022, 1:00 PM

Y by

..............

This post has been edited 1 time. Last edited by farhad.fritl, Dec 17, 2023, 5:47 PM

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Qsolver

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Qsolver

#53 h Jan 21, 2023, 12:02 PM

Y by

I get ((13*7)/13)^2 = 7^2 = 49
So the answer will be 49.

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mathmax12

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#54 h Jan 21, 2023, 12:40 PM

Y by

0 is the answerClick to reveal hidden text

This post has been edited 1 time. Last edited by mathmax12, Jan 22, 2023, 11:46 AM

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peelybonehead

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#55 h Oct 24, 2023, 3:02 AM

Y by

Solution

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AidanMath

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#56 h Nov 6, 2023, 9:23 AM

Y by

Simple.

2112 - 2021 = 91, which is 7 x 13. 169 is 13 x 13, thus we have 7 x 13 x 7 x 13 divided by 13 x 13. The 13s cancel out, hence the answer is 7 x 7 = 49

PS can someone teach me how to do the formatting, idk how to do the font, mathematical symbols and stuff

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Serengeti22

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#58 h Nov 6, 2023, 5:07 PM

Y by

It was C. pretty diffcult for a P1.

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Jndd

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#59 h Nov 6, 2023, 5:33 PM • 4 Y

Y by ihatemath123, akliu, Math4Life7, roribaki

Jndd wrote:

POV: you sillied this because you forgot to square the 7

why'd you forget to square the 7 :skull:

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KHOMNYO2

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#61 h Jan 14, 2024, 6:43 AM

Y by

Simple calculation tells us that
$\frac{(2112-2021)^2}{169}$ $\implies{\frac{(91)^2}{169}}$ $\implies{\frac{(91)^2}{(13)^2}}$ $\implies{(\frac{91}{13})^2}$ $\implies{(7)^2}$ $\implies{49}$
Therefore, the answer is $\boxed{(C) \; 49}$