Math, asked by sanjana925214, 4 months ago

The denominator of a fraction is 3 less than the numerator.
Increasing the numerator by 4and decreasing the denominator by 3, we get the number 3
Find the fraction.​

Answers

Answered by TahooraFatima
0

Answer:

let the denomination be x

the numerator be x+3

after increasing 4 the numerator becomes x+3+4

=x+7

after decreasing 3 denomination becomes x-3

x+7/x-3=3

x+7=3(x-3)

x+7=3x-9

x-3x=-9-7

-2x=-16

2x=16

x=16/2

x=8

Answered by sethrollins13
54

Given :

  • Denominator of a fraction is 3 less than the numerator.
  • If numerator is increased by 4 and denominator is decreased by 3 then the number obtained is 3 .

To Find :

  • The Fraction .

Solution :

\longmapsto\tt{Let\:Numerator\:be=x}

As Given that Denominator of a fraction is 3 less than the numerator. So ,

\longmapsto\tt{Denominator=x-3}

Now ,

  • If numerator is increased by 4 and denominator is decreased by 3 then the number obtained is 3 .

\longmapsto\tt{Numerator=x+4}

\longmapsto\tt{Denominator=x-3-3=x-6}

A.T.Q :

\longmapsto\tt{\dfrac{x+4}{x-6}=\dfrac{3}{1}}

\longmapsto\tt{1(x+4)=3(x-6)}

\longmapsto\tt{1x+4=3x-18}

\longmapsto\tt{1x-3x=-18-4}

\longmapsto\tt{-2x=-22}

\longmapsto\tt{x=\cancel\dfrac{-22}{-2}}

\longmapsto\tt\bf{x=11}

Value of x is 11 ..

Therefore :

\longmapsto\tt\bf{Numerator=11}

\longmapsto\tt{Denominator=11-3}

\longmapsto\tt\bf{8}

So , The Fraction is 11/8 ..

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