Math, asked by adritasinha29, 17 hours ago

The sum of a number, its half and its one-fourth is 28, then the number is ____PLS ANSWER FAST PLSSSSSSSSSSSSSSS I BEG

Answers

Answered by Rahul74684
2

Answer:

The correct answer is 24

Step-by-step explanation:

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Answered by TwilightShine
10

Answer -

  • The number = 16.

To find -

  • The number.

Step-by-step explanation -

Let the number be "x".

Then -

  •  \rm Half \: of \: the \: number \:will\: be\: \dfrac{1}{2} x

  •  \rm One\!-\!fourth \: of \: the\: number \:will\: be\: \dfrac{1}{4}x

Given that -

  • The sum of the number, it's half and it's one-fourth is 28.

Therefore -

 \implies \sf x +  \dfrac{1}{2} x +  \dfrac{1}{4} x = 28

 \implies \sf x +  \dfrac{x}{2}  +  \dfrac{x}{4}  = 28

 \implies  \sf  \dfrac{(x \times 4) + ( x\times 2) + (x \times 1)}{4}  = 28

 \implies \sf  \dfrac{4x + 2x + x}{4}  = 28

 \implies \sf \dfrac{7x}{4}  = 28

 \implies \sf 7x = 28 \times 4

 \implies \sf 7x = 112

 \implies \sf x =   \cancel{\dfrac{112}{7} }

 \implies \sf x = 16

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Hence -

  • The number is 16.

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