Question

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 by 2 find the rational number ​

Answer 1

Answer:

Let the numerator be x.

Let the denominator be 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

3x-2x=34+24

x=58

numerator=58

denominator=58+8=66

Fraction=58/66

Answer 2

Answer:

13/21

Step-by-step explanation:

1. Numerator = x
2. Denominator = x+ 8

x/x+8

• If the numerator is increased by 17

x + 17

• The denominator is decreased by 1

x + 8 - 1

x+17/x+7 = 3/2

• Cross multiplication used now

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

3x + 21 = 2x + 34

3x - 2x = 34 - 21

x = 13

x/x + 8 = 13/13 + 8

13/21