the sum of numerator and denominator of a fraction is greater by 1 than thrice the numerator if the numerator is decreased by 1, then the fraction reduced to 1/5 find the fraction
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the sum of numerator and denominator of a fraction is greater by 1 than thrice the numerator if the numerator is decreased by 1, then the fraction reduced to 1/5 find the fraction
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Step-by-step explanation:
let, the numerator of the fraction be x.
the denominator of the fraction is y.
required fraction=x
y
a/c to given condition 1,
3x=x+y+1
3x-x-y=1
2x-y=1........................1
if numerator and denominator is reduced by 1,
new numerator=(x-1)
denominator=(y-1)
a/c to given condition 2,
(x-1) = 1
(y-1) 5
by cross multiplication,
5×(x-1)=(y-1)×1
5x-5=y-1
5x-y=-1+5
5x-y=4................…………2
by solving the problem,
we get, x=1 and y=1
therefore, required fraction= x = 1
y 1