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

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

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• 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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$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

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• Required number = ??

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

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

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

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

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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

Answer 2

Answer:

✯ Given :-

• A number is added to 12, and the results is divided by 2 and the number is substracted by 4.

✯ To Find :-

• What is the number.

✯ Solution :-

» Let, the number be x

» When it is added to 12 we get x + 12 and divided by 2 we get $\dfrac{(x + 12)}{2}$ .

➣ According to the question,

⇒ $\dfrac{(x + 12)}{2}$ = x - 4

By doing cross multiplication we get,

⇒ x + 12 = 2(x - 4)

⇒ x + 12 = 2x - 8

⇒ x - 2x = - 8 - 12

⇒ - x = - 20

➠ x = 20

$\therefore$ The required number is 20 .

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