Correct Answer - Option 1 : 7/15
Given:
The denominator of a rational number is greater than its numerator by 8.
Calculation:
Let the numerator of a rational number be x and denominator be (x + 8).
ATQ,
(x + 17)/(x + 8 + 1) = 3/2
⇒ (x + 17)/(x + 9) = 3/2
⇒ 2x + 34 = 3x + 27
⇒ x = 7 and x + 8 = 7 + 8 = 15
⇒ Rational number = 7/15
∴ The required rational number is 7/15.