guys plz answer the questions !
Answers
Given : A fraction
If numerator is multiplied by 3 and denominator is decreased by 3 then fraction becomes 8/11
If numerator is increased by 8 and denominator is doubled then fraction becomes 2/5
To Find: Fraction
Solution:
Fraction = N/D
N = numerator
D = Denominator
3N/(D - 3) = 8/11
=> 33N = 8D - 24
=> 33N + 24 = 8D
(N + 8)/2D = 2/5
=> 5N + 40 = 4D
=> 10N + 80 = 8D
Equate 8D
33N + 24 = 10N + 80
=> 23N = 56
N should have been integer
so mistake in Data:
Correct Question can be : 18/11 instead of 8/11
https://brainly.in/question/1206761
Fraction = N/D
N = numerator
D = Denominator
3N/(D - 3) = 18/11
=> 33N = 18D - 54
=> 33N + 54 = 18D
=> 11N + 18 = 6D
=> 22N + 36 = 12D
(N + 8)/2D = 2/5
=> 5N + 40 = 4D
=> 15N + 120 = 12D
Equate 12D
22N + 36 = 15N + 120
=> 7N = 84
=> N = 12
15(12) + 120 = 12D
=> 15 + 10 = D
=> D = 25
Fraction = 12/25
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