the denominator of the fraction is greater than the numerator by 9 if the numerator is increased by 17 and denominator is decreased by 1 the number obtained is 3/2 find the fraction
Answers
Answered by
1
Answer:
10/19
Step-by-step explanation:
let the numerator = x
so, denominator = x+9
according to the question,
x/(x+9) is the fraction
and
(x + 17)/(x+8) = 3/2
by cross multiplication,
2(x + 17) = 3(x+8)
2x + 34 = 3x + 24
3x - 2x = 34- 24
x = 10
so fraction is x/(x+9) = 10/19
Answered by
3
✪ ✪
→the denominator of the fraction is greater than the numerator by 9 if the numerator is increased by 17 and denominator is decreased by 1 the number obtained is 3/2 find the fraction
✪ ✪
⇒Given:
- Denominator is 9 greater than Numerator
⇒To Find:
- The original Fraction
⇒Solution:
⇒Let The Numerator be x
The denominator is x+9
Fraction is :-
According to question-
⇒
⇒
⇒ {Cross multiplication}
⇒
⇒
⇒
This value of x is Numerator
Denominator = x + 9
⇒
Original Fraction is-
⇒
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