A numerator is more than the denominator by 1. When 17is added to the numerator and 1 decreased in denominator the number become 3/4.find the retional number
Answers
Question:
In a rational number, the numerator is one more than its denominator. If 17 is added to the numerator and 1 is decreased in the denominator, then the rational number becomes 3/4. Find the rational number.
Answer:
Required rational number is
-74/-75
Solution:
It is said that, in the rational number, the numerator is one more than its denominator.
Thus;
Let the denominator be "x" and the numerator be "(x+1)".
Also,
It is given that,
If 17 is added to the numerator and 1 is decreased in the denominator, then the rational number becomes 3/4.
Thus,
=> {(x+1)+17}/(x-1) = 3/4
=> (x+18)/(x-1) = 3/4
=> 4(x+18) = 3(x-1)
=> 4x + 72 = 3x - 3
=> 4x - 3x = -72 - 3
=> x = - 75
Thus,
Denominator = x = - 75
Numerator = x+1 = - 75 + 1 = - 74
Hence,
The required rational number will be;
-74/-75 .
Also,
The equivalent rational number will 74/75 .
Answer :
Refer the attached picture.
