Question

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

Answer 1

Answer:

Step-by-step explanation:

Answer:

Let the numerator of the rational number be x.

So as per the given condition, the denominator will be x + 8.

The rational number will be xx+8

According to the given condition,

x+17x+8−1=32

 

x+17x+7=32

 

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

3x + 21 = 2x + 34

3x – 2x + 21 – 34 = 0

x – 13 = 0

x = 13

The rational number will be

= xx+8

= 1313+8

Rational number = 13/21

Answer 2

Given :-

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

To Find :-

Fraction

Solution :-

Let the numerator be x

Denominator = x + 8

Fraction = x/x + 8

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

x + 17/x + 7 = 3/2

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

2x + 34 = 3x + 21

2x - 3x = 21 - 34

-x = -13

x = 13

Hence

Fraction

x/x + 8

13/13 + 8

13/21