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 1 the number obtained is 3/2 find the rational number​

Answer 1

Answer:

13/21

Step-by-step explanation:

let's assume the numerator be 'x'

so denominator would be x + 8 as per the question

so the final eqn. would be

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

x + 17 / x+7 = 3/2

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

2x + 34 = 3x + 21

34 - 21 = 3x - 2x

13 = x

now since x = 13

so, the required rational no. would be 13/13+8 = 13/21

Please mark it as the brainiest answer

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