The sum of the numnerator and denominator of a fraction is I less than thrice the numerator. If numerator and denominator are increased by 2, ratio of numerator to denominator would be 3:5. Find the fraction
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Answer:
Let the fraction =
y
x
First condition :
⇒x+y=2y−3
⇒x−y=−3
Second condition :
⇒
y−1
x−1
=
2
1
⇒2x−2=y−1
⇒2x−y=1
Subtract two equations ;
⇒2x−x=1+3⇒x=4
substitute in above equation
⇒y=1+8⇒y=7
∴ the fraction =
7
4
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