Question

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

Answer 1

Heya !!!


Let the Numerator of rational Number be X.

Then denominator of fraction = (X+8)

Fraction = Numerator/Denominator = X/X+8


According to question,


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


X+17/X+7 = 3/2


2(X+17) = 3(X+7)

2X + 34 = 3X + 21


3X - 2X = 34 - 21


X = 13


Numerator = X = 13

and,

Denominator = X + 8 = 13+8 = 21


Therefore,


Fraction = Numerator/Denominator = 13/21

HOPE IT WILL HELP YOU...... :-)

Answer 2

Hello Dear!!!

Here's your answer...

Let,

The numerator is x

The denominator is x+8

Numerator is increased by 17

numerator is x+17

Denominator is decreased by 1

denominator is x+7

Number is 3/2

x+17/x+7= 3/2

Cross multiplication

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

2x + 34 = 3x + 21

34-21 = 3x-2x

13 = x

numerator is 13

denominator is 13+8 = 21

The fraction is 13/21

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Hope this helps you...