If the denominator of a number is 4 less than its numerator. If 6 is added to the numerator it becomes thrice the denominator. Then the fraction is ____.

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Detailed Solution

If the denominator of a number is 4 less than its numerator. If 6 is added to the numerator it becomes thrice the denominator. Then the fraction is

.
Assuming the numerator of fraction be x.
So, denominator= x-4.
Applying the given conditions,
3(Denominator)=Numerator +6

3 (x − 4) = x + 6

3 x − 12 = x + 6

3 x − x = 6 + 12

2 x = 18

x = 9

Now denominator,

x − 4 = 9 − 4 = 5

Therefore, the fraction is

95

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