A number is added to both the numerator and denominator of 5/9, the resulting fraction is 2/3. Find the number which was added

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Let ,

x= number to be added,then we have

(5+x)/(9+x)=2/3

3(5+x)=2(9+x)

15+3x=18+2x

x=3

Check,

15+3(3)=2(9+3)

24=24

Hence prove,

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