The denominator of a fraction is 1 more than twice its numerator. if numerator and denominator are added by 5 it become3/5. Find the original fraction
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let the numerator be x.
let the denominator be y.
A.T.Q.
y=1+2x -----------(1)
(x+5)/(y+5)=3/5 ---------(2)
putting eqn. (1) in eqn. (2)
(x+5)/(1+2x+5)=3/5
(x+5)/(6+2x)=3/5
by cross multiplying,
5(x+5)=3(6+2x)
5x+25=18+6x
25-18=6x-5x
4=x
putting value of x in eqn. (1)
y=1+2(4)
y=1+8
y=9
so, the original fraction is 4/9.
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