The denominator of a rational number is greater than its numerator by 8. If 23 is added to its numerator and 5 is subtracted from the denominator, the number obtained is 3. Find the rational number.​

Let the numerator = xThen the denominator = x + 8Now, rational number = xx+8Now, according to question :x + 23x + 8 - 5 = 3x + 23x + 3 = 33x + 9 = x + 233x - x = 23 - 92x = 14x = 7So, numerator = 7Denomianator = 7 + 8 = 15Hence rational number = 715

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good question
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apply the formula
 
  • -1
let take the numerator = x
then denominator will be =x + 8

if we add 23 to num the num = x+2
if we sub  5 frm denominator  the denominator will be  = x+3 

then frm the above we get,
x + 23 = 3
x + 3

 x+23 =3(x+3)
x+23 = 3x +9
23-9=3x -x
14=2x
14 = x
2
x = 7 = num
x+8= 15=denominator
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sgs
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