The sum of numerator and denominator of a fraction is 18. If the denominator increased by 2,the fraction reduces to 1/3. Find the fraction.
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Let the fraction be p/q
p+q=18
p/(q+2)=1/3
So
3p = q+2
3p -2 =q
Add p on both sides. then 4p-2 = p+q=18
4p=20
p=5
since p+q=18
q=18-5=13
So the fraction is 5/13
p+q=18
p/(q+2)=1/3
So
3p = q+2
3p -2 =q
Add p on both sides. then 4p-2 = p+q=18
4p=20
p=5
since p+q=18
q=18-5=13
So the fraction is 5/13
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