# If 2 be added to the numerator of a fraction, it reduces to 1/2 and if 1 be subtracted from the denominator it reduces to 1/3 . Find the fraction.

1
by dweejareddy

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by dweejareddy

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then,

(p+2)/q = 1/2

2p + 4 =q

and p/(q-1)=1/3

3p =q-1

q=3p+1

So

2p+4 = 3p+1 ;

4 -1 = 3p-2p;

p=3

q= 3*3 +1 =10

Therefore p=3 and q=10

So the fraction is 3/10