Question

The denominator of a fraction is greater than the numerator by 8 if the numerator is increased by 17 and denominator is decreased by 1 the number obtained with 3 by 2 find the fraction

Answer 1

Answer:

The fraction is 13 / 21

Step-by-step explanation:

Let the numerator be x

Therefore the denominator is x+8

Therefore the fraction is x/x+8

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

x + 17/x + 7 = 3/2

x + 17 = 3/2 * (x + 7)

x + 17= (3x + 21)/2

2x + 34= 3x + 21

2x - 3x = 21 - 34

- x = - 13

x = 13

The fraction was x/x + 8

= 13 / 13 + 8

= 13 / 21

Answer 2

Answer:

Numerator=13, Denominatior=21

Step-by-step explanation:

Let the numerator be x

Denominatior. is greater than the numerator by 8=x+8

According to the question The Numerator increase by 17 and denominatior is decrease by 1 so the equation is

x+17/x+8-1=3/2(cross Multiple)

2(x+17)=3(x+8-1)

2x+34=3x+24-3

2x+34=3x+21

3x-2x=34-21

x=13

Hence ,X=13, X+8=13+8 =21

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