The sum of the numerator and denominator of the factor is 12 if the denominator is increased by 3 factor because one by two became ok bye to find the factor
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Let the numerator be x and
denominator be y
So, the fraction = x/y
A/Q, x+y=12
y=12-x
On increasing denominator by 3 the fraction becomes 1/2
x/(y+3)=1/2
x/(12-x+3)=1/2 [From equation (1)]
x/(15-x)=1/2
2x=15-x [By Cross Multiplication]
2x+x=15
3x=15
x=15/3
x=5
x+y=12
5+y=12
y=12-5
y=7
So, the required fraction is 5/7
denominator be y
So, the fraction = x/y
A/Q, x+y=12
y=12-x
On increasing denominator by 3 the fraction becomes 1/2
x/(y+3)=1/2
x/(12-x+3)=1/2 [From equation (1)]
x/(15-x)=1/2
2x=15-x [By Cross Multiplication]
2x+x=15
3x=15
x=15/3
x=5
x+y=12
5+y=12
y=12-5
y=7
So, the required fraction is 5/7
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