Question

the denominator of a fraction is 6 more than the numerator. If 5 is added to the numarator and the dinominator than the new fraction becomes2/5. fund the fraction.

Answer 1

say fraction as x/y

y= x+6
(x+5)/(y+5) = 2/5
5(x+5)= 2(y+5)
5x+25= 2y+10

sub y
5x+25= 2(x+6)+10
5x+25= 2x+12+10
3x+25-22=0
3x+3= 0
x+1= 0
x=-1

y=x+6
y=-1+6=5


.•. x=-1 & y=5
Thus fraction is -1/5.
you can verify this!


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