Question

7. 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
3
obtained is
2
Find the rational number.
​

Answer 1

Answer:

. rational number is 13/21.

Step-by-step explanation:

let the numerator of the rational number be x.

therefore, the denominator is x + 8

according to question we have,

New Numerator = x + 17 and

New Denominator = ( x + 8 ) - 1 = x + 7.

Now , its given that x + 17 / x + 7 = 3 / 2.

→ 2 ( x + 17 ) = 3 ( x + 7 ) = 2x + 34 = 3x + 21.

→ 34 - 21 = 3x - 2x → 13 = x

Thus, numerator = x = 13

and denominator = x + 8 = 13 + 8 = 21

hence the rational number is 13/21.

hope this answer helps you take care