The numerator of a rational number is 8 less than its denominator . If the numerator is multiplied by 3 and 10 is added to the denominator,the new number is 21/25.find that original rational number.
Answers
Answer:
Let the numerator be x. Then,
denominator of the rational number = x + 7
Therefore, the rational number = x/x+7
It is given that if 3 is subtracted from the numerator and 2 is added to its denominator, then new number becomes 1/5.
Therefore, x-3/(x+7)+2 = 1/5
=> x-3/x+9 = 1/5
=> 5x - 15 = x+9
=> 5x-x = 9+15
=> 4x = 24
=> x = 24/4 = 6
Putting x = 6 in (1), we get
Required rational number = 6/6+7 = 6/13
Read more on Brainly.in - https://brainly.in/question/3478031#readmore
Step-by-step explanation:
Let the numerator be x. Then,
denominator of the rational number = x + 7
Therefore, the rational number = x/x+7
It is given that if 3 is subtracted from the numerator and 2 is added to its denominator, then new number becomes 1/5.
Therefore, x-3/(x+7)+2 = 1/5
=> x-3/x+9 = 1/5
=> 5x - 15 = x+9
=> 5x-x = 9+15
=> 4x = 24
=> x = 24/4 = 6
Putting x = 6 in (1), we get
Required rational number = 6/6+7 = 6/13
Read more on Brainly.in - https://brainly.in/question/3478031#readmore