Question

Q4: 18 is taken away from 8 times of a number is 30. Find the number.
Show your work.
Answer______​

Answer 1

Answer:

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Answer 2

Correct Question-:

• 18 is taken away from 8 times of a number is 30. Find the number.

AnswEr-:

• $\underline{\boxed{\star{\sf{\blue{The\:number\:is\:=\frak{6}.}}}}}$

EXPLANATION-:

• $\frak{Given \:\: -:} \begin{cases} \sf{18\: is \:taken \:away\: from \:8\: times \:of \:a \:number\: is\: 30. }\end{cases}$

• $\frak{To \:Find\: -:} \begin{cases} \sf{The\:number. }\end{cases}$

Solution-:

• $\frak{Let's \:Assume \: -:} \begin{cases} \sf{The\:number\:be\:x.}\end{cases}$

• $\frak{By\:Understanding\:Concept \:\: -:} \begin{cases} \sf{18\: is \:taken \:away\: from \:8\: times \:of \:a \:number\: is\: 30.} & \\\\\sf{Then,}& \\\\ \sf{Formed \:Equation = \frak{8 × x - 18 =30}}\end{cases}$

Then,

• Solving for x -:

• $\implies{\sf{\large {8× x - 18 = 30}}}$
• $\implies{\sf{\large {8x - 18 = 30}}}$
• $\implies{\sf{\large {8 x = 30+18}}}$
• $\implies{\sf{\large {8x = 48}}}$
• $\implies{\sf{\large {x = \frac{48}{8}}}}$
• $\implies{\sf{\large {x = 6}}}$

Therefore,

• $\underline{\boxed{\star{\sf{\blue{x = 6.}}}}}$

Now ,

• $\frak{Putting \:x =6 \: -:} \begin{cases} \sf{The\:number\:is\:x=\frak{6}}\end{cases}$

Hence ,

• $\underline{\boxed{\star{\sf{\blue{The\:number\:is\:=\frak{6}.}}}}}$

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♤ Verification ♤

• $\frak{Given \:\: -:} \begin{cases} \sf{18\: is \:taken \:away\: from \:8\: times \:of \:a \:number\: is\: 30.} & \\\\\sf{Then,}& \\\\ \sf{Formed \:Equation = \frak{8 × x - 18 =30}}\end{cases}$

• $\implies{\sf{\large {Equation \: 1 = 8 × x - 18 = 30}}}$

• Here,
• $\implies{\sf{\large {x = 6}}}$

Now ,

• $\implies{\sf{\large {8× 6 - 18 = 30}}}$
• $\implies{\sf{\large {48 - 18 = 30}}}$
• $\implies{\sf{\large {30 = 30}}}$

Therefore,

• $\implies{\sf{\large {LHS = RHS}}}$

• $\underline{\boxed{\star{\sf{\blue{Hence,\: Verified.}}}}}$

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