Question

A number is added to 12, and the result is divided by 2. the answer is the same as you get by subtracting the number from 4. what is the number
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Answer 1

Step-by-step explanation:

A number is added to 12, and the result is divided by 2. the answer is the same as you get by subtracting the number from 4. what is the number

Answer 2

Answer:

A number is added to 12 and the result is divided by 2 is equal to the number we get by subtracting the four from it

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Required number = ??

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$\sf{\bold{\green{\underline{\underline{Solution}}}}} </p><p>$

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let the original no. be x

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Acc. to the question :-

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$\sf :\implies{\bold{ \dfrac{x + 12}{2} = x - 4 }}$

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$\sf :\implies{\bold{x + 12 = 2 (x - 4 )}}$

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$\sf :\implies{\bold{ x + 12 = 2x - 8 }}$

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x - 2x = - 12 - 8

:⟹x−2x=−12−8

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$\sf :\implies{\bold{ -x = - 20 }}$

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x = 20

:⟹x=20

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$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

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Required number = 20

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$\sf{\red{\boxed{\bold{ Verification}}}}$

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$\sf :\implies{\bold{ \dfrac{20 + 12}{2} = 20 - 4 }}$

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$\sf :\implies{\bold{ \dfrac{32}{2} = 20 - 4 }}$

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$\sf :\implies{\bold{ 16 = 20 - 4 }}$

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$\sf :\implies{\bold{ 16 = 16}}$

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀..... Hence Verified