the denominator of the fraction is greater than the numaretor by b if the numaretor was increased by 17 and and denominator decreased by 1,the number is obtained is 3/2find the fraction
Answers
Answer:
Step-by-step explanation:
Correct Question :-
The denominator of a rational number is greater than its numerator by 8.if numerator is increased by 17 and denominator is decreased by 1,the number obtained is 3/2. Find the rational number.
Answer :-
Solution :-
Let the numerator be x.
And the denominator be x + 8.
Fraction = x/x + 8
According to the Question,
⇒ x + 17/x + 8 - 1 = 3/2
⇒ x + 17/x + 7 = 3/2
⇒ 3 (x + 7) = 2 (x + 17)
⇒ 3x + 21 = 2x + 34
⇒ 3x - 2x = 34 - 21
⇒ x = 13
Fraction = x/x + 8 = 13/13 + 8 = 13/21
Hence, the required fraction is 13/21.
CORRECT QUESTION :
the denominator of the fraction is greater than the numaretor by 8 if the numaretor was increased by 17
if the numaretor was increased by 17and and denominator decreased by 1,the number is obtained is 3/2find the fraction.
SOLUTION :
Let the Numerator is the fraction be a
The denominator of the fraction is a + 8
Therefore the Fraction is
New Fraction becomes -
Hence the original Fraction :