denominator of a number is 4 less than its numerator if 6 is added to the numerator becomes thrice the denominator find the fraction
Answers
Answered by
7
numerator = x
Denominator = x -4
x/(x-4)
6 + x = 3(x-4)
6 + x = 3x - 12
2x = 18
x = 9
number = x and x -4 = 9 and 5
mansha61:
You do not write the fraction
Answered by
5
Solution -
Let the Numerator be x
So, the Dinominator be x - 4
∴ Fraction = x / x - 4
According to Question,
Given :
Numerator + 6 = 3 × Dinominator
x + 6 = 3(x - 4)
⇒ x + 6 = 3x - 12
⇒ 6 + 12 = 3x - x
⇒ 18 = 2x
⇒ 18 / 2 = x
⇒ 9 = x
Required Numbers -
Numerator = x = 9
Dinominator = x - 4 = 9 - 4 = 5
Hence, the required fraction is 9 / 5
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