Can you solve this Olympiad Question? | Math Olympiad Preparation

[@KAvi_YA666]

Thanks for video. Good luck sir!!!!! Nicely ...

[@PreMath]

You are very welcome. So nice of you. Thank you for your feedback! Cheers! You are awesome 😀

[@xyz9250]

After moving 3 to the right side, I kept applying the rule of if 1/a = b then a = 1/b, then move constant to the right, then repeat the process. Very quickly arrived with the final answer.

[@halimmaza3985]

Thanks for this video. However, I think using the inversion of fractions, subtracting the constant part each time, is more practical in this case.

[@PreMath]

Good point! You are very welcome. Thank you for your feedback! Cheers! You are awesome Halim 😀

[@Skank_and_Gutterboy]

The great thing about this problem is that every time you move a constant over to the right side of the equation and take the inverse of both sides, another constant pops up that you can move to the right side. Just keep doing this and a lone x will pop up, then you have your answer.

[@ankeshpritam3409]

Succesive inverse make this question more easier without so much calculation. Thanks🙏🙏🙏

[@PreMath]

Most welcome, Ankesh 😊 Thank you for your feedback! Cheers! You are awesome. Keep it up 😀

[@ankeshpritam3409]

@@PreMath 👍

[@essentialtracks8765]

I solved the problem by rewriting some of the fractions as variables. This was a fun one :-)

[@PreMath]

Glad you think so! Thank you for your feedback! Cheers! You are awesome. Keep it up 😀

[@nirupamasingh2948]

V nice step wise explanation

[@PreMath]

Glad you think so! Thank you for your feedback! Cheers! You are awesome, Niru dear. Keep it up 😀

[@nirupamasingh2948]

@@PreMath 🙏🙏

[@AlfonsoNeilJimenezCasallas]

I started to solve it using another approach and I got the same result: x = -4/5, thank you, sir!

[@PreMath]

You are very welcome Alfonso. Many ways to solve this problem! Thank you for your feedback! Cheers! You are awesome. Keep it up 😀

[@barrym5310]

Many commenters explain other, and often more direct, solutions. (I, too, began with the compound fraction equaling -3, with its denominator equaling -1/3, etc.) While this video is also intended for students, etc., who do not yet have the insights to see and thus attempt such solutions, exposure to the basic mechanical solution is very helpful. That said, the insight-laden comments are also helpful for the same students, so long as the comments are read! The video and the resulting comments comprise such a valuable resource!

[@prehistoriccreator9600]

Personally I found what the denominator must be, and then went down finding how to get to it using cross-multiplying

[@mathlover6169]

Nice explaination

[@PreMath]

Thanks for liking Thank you for your feedback! Cheers! You are awesome. Keep it up 😀

[@SuperYoonHo]

awsome!

[@meeraaggarwal6894]

One more great question

[@242math]

excellent job bro, your solution to this Olympiad question is very well outlined

[@ramanivenkata3161]

Simple but interesting.

[@PreMath]

Glad you think so! Thank you for your feedback! Cheers! You are awesome, Ramani. Keep it up 😀

[@owlsmath]

Very fun problem! I found 4x/x -4 = 2/3. Cross multiply and done.

[@alster724]

Complex fractions made easy!

[@chokrimzoughi7298]

I did it in my head in less than a minute without pen and paper .. crazy easy

[@getrektboy]

finally something that i can understand easily

[@rahulpaul5539]

Easy problem on fraction

[@PreMath]

Good job Rahul.

[@mahalakshmiganapathy6455]

Nice

[@PreMath]

Glad you think so! Thank you for your feedback! Cheers! You are awesome, Mahalakshmi. Keep it up 😀

[@chokrimzoughi7298]

All you have to do 1/4-1/x= 3/2 and the rest easy

[@mathematicalinventor2223]

Nice premath professor

[@srividhyamoorthy761]

Not a professor not a content creator straight up legend ,!!!!

[@PreMath]

Glad you think so! Thank you for your feedback! Cheers! You are awesome, Abdullah. Keep it up 😀

[@HappyFamilyOnline]

Very interesting👍👍 Thank you so much sir 🎉🎉

[@raunakkumar9377]

I have solved it orally 😍😍😍

[@PreMath]

Super! Glad you think so! Thank you for your feedback! Cheers! You are awesome, Kumar. Keep it up 😀

[@fevengr9245]

Used 3 cycles of simplify then invert to solve. It was so easy I thought I was doing something wrong. Thanks!

[@PreMath]

You're welcome! Great job. Thank you for your feedback! Cheers! You are awesome. Keep it up 😀

[@onlybhojpuristatus8073]

In which standard do you studying ?

[@fevengr9245]

@@onlybhojpuristatus8073 --I’m just a retired engineer using these problems to preserve the brain cells I have left. I think I have already forgotten about half of what I used to know, but I don’t remember for sure.

[@scottwilson7975]

Yeah. Cross multiplying is WAAY overcomplicating things. If there were x's in more places, maybe it would be the best option, but not here.

[@onlybhojpuristatus8073]

I solved after seeing your question and my answer also came like yours, all this is the effect of your reading.

[@PreMath]

Very good. Thank you! Cheers! You are awesome 😀

[@montynorth3009]

Let second part of denominator 1 / ( 1/4 -- 1 / x ) = a ( equation 1 ). 1 / ( 1/3 - a ) = -- 3 Cross multiplying. -- 1 + 3a = 1. 3a = 2. a = 2 /3. Solving for equation ( 1 ) 1 / (1/4 - 1/x ) = 2 / 3. 2 ( 1/4 - 1 / x ) = 3. 1/2 - ( 2/x ) = 3. -- 2/x = 2.5. x = -- 2 / 2.5 ( same as -- 4 / 5 )

[@jaibhuwan6189]

I started to solve it using another approach and I got the same result: x = -4/5, thank you

[@PreMath]

Most welcome, Jai. Many approaches possible. Thank you for your feedback! Cheers! You are awesome. Keep it up 😀

[@devondevon4366]

I did it part by part 1 _________________________ = -3 subtract 2 from both sides then multiply by -1 1/3 - 1 ___________ 1/4 -1/x 1 1 ______ = _____________ = 4x/(x-4) hence 1/4-1/x (x -4)/4x 1 __________ = -3 1/3 - 4x/(x-4) since 1 over some value = -3 that value must = -1/3 (so, if 1/n= -3 then -3n=1, hence n=-1/3)_ hence 1/3- 4x/(x-4) = -1/3 -4x/(x-4)= - 2/3 4x/(x-4)=2/3 multiply both sides by -1 12x= 2(x-4) cross-multiply 12x = 2x-8 10x = -8 x = -8/10 x= -4/5 answer

[@AmitDash]

I would have done this in different way... After getting rid of 2 from the left side and geting 3 on right side., When we get -1 as numerator on left side, Lets take reciprocal of both sides... And get -1/3 on the right side.. Next.. we have 1/3 left side, take it to right side, the right side becomes -2/3... And then again cancel the megetive sign and next again take reciprocal of both sides....

[@manualrepair]

👍

[@PreMath]

So nice of you. Thank you for your feedback! Cheers! You are awesome 😀

[@thorinpalladino2826]

Your method is way more complicated than it has to be and introduces too many chances for simple math errors. Same first step. The second step is to divide both sides by -1. The complex fraction now equals -3. That means that the entire denominator must equal -1/3 because 1/(1/3)=3. That means everything after the 1/3 in the denominator must equal 2/3 because 1/3-2/3=-1/3. Which means that the denominator in the fraction after 1/3 must equal 3/2 because 1/(3/2)=2/3. That leaves 1/4-1/X=2/3, which is very simple.

[@NihmbleTech]

All the cross multiplying and distribution was unnecessary. First subtract the 5 on the right from the 2 on the left, and add the whole fractional term to the right. Now it is -3 = the fraction. Then swap the -3 with the entire right side denominator. Now you have 1/3- (1/(1/4-1/x)) = -1/3. Again, add 1/3 to both sides and add the fractional term to both sides. Now you have 2/3 = 1/(1/4-1/x). Flip both sides and you get 1/4 - 1/x = 3/2. Subtract the 3/2 from both sides and add the 1/x to both sides. Now you have -5/4 = 1/x. Now just just flip both sides x = -4/5. Never had to distribute out anything. Easy peasy.

[@pietroSV]

Wow. Elementary school

[@Javi228]

Very well made here, & I also turn 17 years old today

[@chaparral82]

sorry, but it is never necessary to bring the fraction on one denominator with x, it is very simple just add numbers on one side, and take the reciprocal value 3 times

[@haroldkinggalatierra5957]

Easy math

[@Teamstudy4595]

Ans : x = -4/5

[@PreMath]

Very well done, Jayant Thank you for your feedback! Cheers!

[@devondevon4366]

x= - 4/5 negative 4/5

[@mustafizrahman2822]

-4/5 is the answer.

[@PreMath]

Great Thank you for your feedback! Cheers! You are awesome, Mustafiz. Keep it up 😀

[@guitarttimman]

X = -4/5

[@alexniklas8777]

х= -4/5

[@PreMath]

Great Thank you for your feedback! Cheers! You are awesome, Alex. Keep it up 😀

[@nick46285]

very simple, look like grade 7 level

[@anankingtron2287]

lol i just let 1/4 -1/x = a

[@tosss433]

Izi

[@harunalrasyid3193]

Okle

[@PreMath]

Thank you Harun for your feedback! Cheers!

[@godphysics2473]

Too long the video..

[@rifatshan5362]

Nice

[@PreMath]

Glad you think so! Thank you for your feedback! Cheers! You are awesome, Rifat. Keep it up 😀