SOLUTION: The numerator and denominator of a rational number are in the ratio 3:4.If the denominator is increased by 3,the ratio becomes 3:5.Find the rational number.

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Question 701843: The numerator and denominator of a rational number are in the ratio 3:4.If the denominator is increased by 3,the ratio becomes 3:5.Find the rational number.
Answer by lwsshak3(11628) About Me  (Show Source):
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The numerator and denominator of a rational number are in the ratio 3:4.If the denominator is increased by 3,the ratio becomes 3:5.Find the rational number.
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let d=denominator
let n=numerator
..
n/d=3/4
3d=4n
..
n/(d+3)=3/5
3d+9=5n
3d=5n-9
..
4n=5n-9
n=9
d=4n/3=36/3=12
rational number: 9/12