Question

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

Answer 1

Answer:

Let fraction be x/y

Given that x+8=y

Then fraction is x/(x+8)

And also given that

(x+17)/(y-1)=3/2

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

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

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

3x+21=2x+34

x=13

Step-by-step explanation:

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