it does'nt have any angle

Algebra Level 2

Given that

X 5 = a , X 8 = b , X 6 = c , X 2 = d , \frac{X}{5} = a, \hspace{.3cm} \frac{X}{8} = b, \hspace{.3cm} \frac{X}{6} = c, \hspace{.3cm} \frac{X}{2} = d,

then what is the value of X X if

X = a + b + c + d + 3 ? X = a + b + c + d + 3?


The answer is 360.

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10 solutions

Isaac Jiménez
Aug 20, 2014

Very easy, see X = a + b + c + d + 3 = X 5 + X 8 + X 6 + X 2 + 3 X=a+b+c+d+3=\frac { X }{ 5 } +\frac { X }{ 8 } +\frac { X }{ 6 } +\frac { X }{ 2 } +3 which is 24 X + 15 X + 20 X + 60 X 120 + 3 = 119 X 120 + 3 = X \frac { 24X+15X+20X+60X }{ 120 } +3=\frac { 119X }{ 120 } +3=X . Multiplying the equation by 120 120 is 119 X + 360 = 120 X 119X+360=120X so X = 360 X=\boxed { 360 } .

elegant! It doesn't have any angles, but the answer is of interest to people who study angles, whether they have a degree or not!

John M Lewis - 6 years, 9 months ago

I did it the same way

Wes Pomeroy - 6 years, 8 months ago

How did u get 24x +15x+20x+60x/120

Vivek Mistry - 6 years, 2 months ago

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By taking LCM

Megha Malyala - 5 years, 8 months ago

Find LCD of 120

Sam Harper - 5 years, 7 months ago

Why don't we take the LCM of 3

Saheb Raza - 5 years, 9 months ago

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We took the LCD of all the terms (120), then multiplied the numerator and denominator of each fraction by factors with respect to their denominators so that each denominator is 120. The denominator in the last term, 3 (3/1), is 1. We multiply both the numerator and the denominator by 120 to keep the fractional expression proportion. Hence the term 3 is changed to 360/120.

kevin casimir - 5 years, 6 months ago

answer give me

Sumit Gangwar - 6 years, 9 months ago

Same i have solve it .

Anirudh Kumar - 6 years, 9 months ago

why did it become 24x if 120/5 is 25

John Patrick Hernandez - 6 years, 8 months ago

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Probably because 120/5 is 24

Sam Harper - 5 years, 7 months ago
Uahbid Dey
Aug 31, 2014

x = 5 a = 8 b = 6 c = 2 d x = 5a = 8b = 6c = 2d = > a = 2 d / 5 ; b = d / 4 ; c = d / 3 => a=2d/5; b=d/4; c=d/3 = > ( 2 d / 5 ) + ( d / 4 ) + ( d / 3 ) + d + 3 = 2 d => (2d/5) + (d/4) + (d/3) + d + 3 = 2d = > d = 180 = > x = 2 d = 360 => d=180 => x = 2d = 360

Krishna Garg
Aug 22, 2014

Substituting values in given equation we get 120 X =119X +360 that is X =360 Ans K.K.GARG,India

Siddharth Pandit
Oct 12, 2014

put the values of a,b,c and d in the given equation.after solving you get x=360

Rajat Debbarma
Sep 22, 2014

it's simple plus and minus

Haider Abbas
Sep 21, 2014

x = x(1/5+1/8+1/6+1/2) + 3

x = 119x/120 + 3

x = 119x + 360 / 120

120x = 119x + 360

120x - 119x = 360

x = 360

Dladla Arthur
Sep 3, 2014

X/5 + X/8 + X/6 + X/2 = 238X/240 + 3 = (238X+ 720)/240

X = (238X+ 720)/240

Multiplying the obove equation we obtain :

240X = 238X+ 720

then solving for X we obtain X = 360

Vishal Yash
Aug 31, 2014

gandu question

Esraa Elsayed
Aug 27, 2014

X=a+b+c+d+3 then X= X(1\5+ 1\8+ 1\6+ 1\2)+3, X= X(119\120)+ 3 multiplying by 120 then 120X= 118X+ 360 finally X=360

William Isoroku
Aug 21, 2014

You just need to add up the values of a,b,c,d in terms of x and simplify.

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