the denominator of a fraction exceeds its numerator by 8.if the numerator is increase by 17 and the denominator is decreased by 1,we get 3/2 find the original fraction?
Answers
Answered by
72
Answer:
Step-by-step explanation:
Given :-
The denominator of a fraction exceeds its numerator by 8.
If the numerator is increase by 17 and the denominator is decreased by 1, we get 3/2.
To Find :-
The Original Fraction
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
Original fraction = x / x + 8
= 13 / 13 + 8
= 13 / 21
Hence, the original fraction is 13 / 21
Answered by
0
Answer:
pedhiyila povane sethapayale naarapayale
Step-by-step explanation:
chaavu nakku
Similar questions