Question

when 8 is added to a number and result is divided by 4. final result is 7.what is the number

Answer 1

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

• When 8 is added to a number and result is divided by 4 the final result would be 7 .

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

• The number which when added to 8 and then divided by 4 gives result as 7

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

Let the number be :

• x

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

According to the question :

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When a number is added to 8 and the result is divided by 4 the final result is 7 .

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Let's frame up an equation :

$\sf\:\frac{x+8}{4}=7$

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• Cross multiplying

‎

$\sf\dashrightarrow\:x+8=7 \times 4$

$\sf\dashrightarrow\:x+8=28$

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• Transposing 8 to the other side

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$\sf\dashrightarrow\:x=28-8$

★ $\small\fbox\red{\:x\:=\:20}$

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

$\sf\:\frac{x+8}{4}=7$

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• Substituting the value of x

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$\sf\dashrightarrow\:\frac{20+8}{4}=7$

$\sf\dashrightarrow\:\cancel{\frac{28}{4}}=7$

$\sf\dashrightarrow\:7=7$

$\small\fbox\blue{Hence\:Verified}$

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$\dag\:\underline{\sf So\:the\:required\:number\:is\:20.}$

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!! Hope it helps !!