Question

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.

Answer 1

heya!
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here is your answer ;-

numerator = x 
denominator = x + 6

Now, A/c to qn
(x + 5)/(x+6 - 3) = 5/4 
4(x + 5) = 5(x +3)
4x + 20 = 5x +15 
-x = -5
x = 5

Hence, 
rational number = x/(x + 6) =5/11
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hope this helps!

Answer 2

Heya...
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

HOPE IT HELPS....!!