The numerator of a rational number is 5 more than its denominator . If 3 is added to the fraction , the new fraction is equivalent to 13/3 . find the original fraction
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Answered by
17
Let the denominator be , x
A.T.Q.-
x+5/x+3=13/3
or,3x+x+5/x=13/3
or, 4x+5/x=13/3
or, 3(4x+5)=13x
or,12x+15=13x
or,15=13x-12x
Or,15=1x
or,x=15
Therefore, original no -
x+5/x
=15+5/15
=20/15
=4/3
A.T.Q.-
x+5/x+3=13/3
or,3x+x+5/x=13/3
or, 4x+5/x=13/3
or, 3(4x+5)=13x
or,12x+15=13x
or,15=13x-12x
Or,15=1x
or,x=15
Therefore, original no -
x+5/x
=15+5/15
=20/15
=4/3
Answered by
3
Answer:
Answer is 20/15
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