Math, asked by roshithraoroshithrao, 10 months ago

the denominator of the fraction is greater than the numaretor by b if the numaretor was increased by 17 and and denominator decreased by 1,the number is obtained is 3/2find the fraction​

Answers

Answered by VishalSharma01
120

Answer:

Step-by-step explanation:

Correct Question :-

The denominator of a rational number is greater than its numerator by 8.if numerator is increased by 17 and denominator is decreased by 1,the number obtained is 3/2. Find the rational number.

Answer :-

Solution :-

Let the numerator be x.

And the denominator be x + 8.

Fraction = x/x + 8

According to the Question,

x + 17/x + 8 - 1 = 3/2

⇒ x + 17/x + 7 = 3/2

⇒ 3 (x + 7) = 2 (x + 17)

⇒ 3x + 21 = 2x + 34

⇒ 3x - 2x = 34 - 21

x = 13

Fraction = x/x + 8 = 13/13 + 8 = 13/21

Hence, the required fraction is 13/21.

Answered by Saby123
2

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CORRECT QUESTION :

the denominator of the fraction is greater than the numaretor by 8 if the numaretor was increased by 17

if the numaretor was increased by 17and and denominator decreased by 1,the number is obtained is 3/2find the fraction.

SOLUTION :

Let the Numerator is the fraction be a

The denominator of the fraction is a + 8

Therefore the Fraction is  \dfrac{a}{a+8}

New Fraction becomes -

 \dfrac{a+17}{a+7} = \dfrac{3}{2} \\ \\ => 3a + 21 = 2a + 34 \\ \\ => a = 13

Hence the original Fraction :  \dfrac{13}{21}

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