The denominator of a rational number is greater than its numerator by 6. If the numerator is increased by 5 and the denominator is decreased by 3 then the number obtained is 5/4. Find the rational number.
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Here is your answer ---
Here, Let the numerator be x
Then, the denominator = x+6
ATQ
=> x+5/x+6-3 = 5/4
=> x+5/x+3 = 5/4
=> 4 (x+5) = 5 (x+3)
=> 4x+20 = 5x+15
=> 4x-5x = 15-20
=> -x = -5
=> x = 5
So, the rational no. is x/x+6 = 5/5+6 = 5/11
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