Question

1/3×x=1/2×(200-x)
say it fast
explain step by step
I will make brainlist​

Answer 1

$\huge\tt\colorbox{white}{AnsweR}$

$\sf\:\frac{1}{3} \times x=\frac{1}{2} \times (200-x)$

$\sf\:⟹\frac{x}{3} =\frac{200-x}{2}$

$\tt\purple{Cross\:multiplying}$

$\sf⟹\:3(200-x)=2x$

$\sf⟹\:600-3x=2x$

$\sf⟹\:600-3x-2x=0$

$\sf⟹\:600-5x=0$

$\sf⟹\:-5x=-600$

$\sf\:⟹5x=600["-"\:and\:"-"\:cancelled\:from\:both\:sides]$

$\sf⟹\:x=\frac{600}{5}$

$\tt\pink{➪\:x=120}$

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• Thnku ❣

Answer 2

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

$\sf \large \dfrac{1}{3} x = \dfrac{1}{2} (200 - x)$

$\sf \longmapsto \dfrac{x}{3} = \dfrac{1}{2} (200 - x)$

Now ,first step is cross multiply to both sides.

$\sf \longmapsto2x = 3(200 - x)$

$\sf \longmapsto2x = 600 - 3x$

On the right hand side 3x is in negative so,when we move ot towards left hand side it gets added.

Now ,take Variable terms together.

$\sf \longmapsto2x + 3x = 600$

$\sf \longmapsto5x = 600$

$\sf \longmapsto \: x = \dfrac{600}{5} ={ \bold{ 120}}$

Check

$\sf \longmapsto \dfrac{1}{3} \times 120 = \dfrac{1}{2} (200 - 120)$

$\sf \longmapsto40 = \dfrac{1}{2} \times 80 = 40$