the denominator of a fraction is 4 less then it's numerator. if 6 added to the numerator, it becomes thrice the denominator. find the fraction.
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Answer:
Let the Numerator of the certain Fraction be x.
According to the Questions,
Denominator = Numerator - 4
= (x - 4)
Thus, the Fraction = Numerator/Denomenator
= x/(x - 4)
Also,
6 + x = 3(x - 4) [As per as Question]
6 + x = 3x - 12
6 + 12 = 3x - x
2x = 18
x = 9
Thus, Numerator = 9
Denominator = x - 4
= 9 - 4
= 5
Fraction = x/(x - 4)
= 9/5
Thus, Fraction will be 9/5.
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