Question

The denominator of a rational number is greater than its numerator by 8.if numerator is increased by 17 and denominator is decreased by 1,the number obtained is 3/2 . Find the rational number .( write step by step please)
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Answer 1

Answer:

13/21

Step-by-step explanation:

numerator=x

denominator=x+8

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

cross multiply

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

3x+21 = 2x+34

3x = 2x+34-21

3x = 2x+13

3x-2x = 13

x=13

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