Question

Solve :-
X/3 + 1/6 = 9

Answer 1

Answer:

x = 26.5

Step-by-step explanation:

x/3 + 1/6 = 9

2x/6 + 1/6 = 9

2x+1 = 54

x= 53/2

= 26.5

that 's the value of X

Answer 2

$\large\sf\underline{Given:}$

• $\sf\:\frac{x}{3}+\frac{1}{6}=9$

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$\large\sf\underline{To\:find:}$

• Value of x .

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$\large\sf\underline{Solution:}$

$\sf\:\frac{x}{3}+\frac{1}{6}=9$

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• LCM of 3 and 6

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$\sf➞\:\frac{2x+1}{6}=9$

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• Cross multiplying

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$\sf➞\:2x+1=9×6$

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$\sf➞\:2x+1=54$

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• Transporting 1 to other side

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$\sf➞\:2x=54-1$

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$\sf➞\:2x=53$

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$\sf➞\:x=\frac{53}{2}$

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${\sf{{\pink{➞\:x=26.5}}}}$

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$\large\rm\purple\star\:\underline{Verification\:of\:my\:answer:}$

Let's substitute x as 26.5 in the given equation :

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$\sf\:\frac{x}{3}+\frac{1}{6}=9$

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$\sf➻\:\frac{26.5}{3}+\frac{1}{6}=9$

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$\sf➻\:\frac{265}{30}+\frac{1}{6}=9$

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• Finding LCM of 30 and 6

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$\sf➻\:\frac{265+5}{30}=9$

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$\sf➻\:\frac{270}{30}=9$

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$\sf➻\:\frac{27}{3}=9$

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$\sf➻\:9=9$

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$\small\fbox\red{[Hence\: Verified]}$

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!! Hope it helps !!