a fraction becomes 1 by 3 when 1 is subtracted from the numerator and become 1 by 4 when it is added to its denominator find the original fraction
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sorry but I can't do it
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Let the fraction x/y
Ist condition...
X-1/y=1/3
3(x-1)=y
3x-3=y
3x-y=3...1)
2nd condition...
X/y+1=1/4
4x=y+1
4x-y=1....(2)
From (1) and (2)
3x-y=3...(1)*4
4x-y=1...(2)*3
———————
12x-4y=12
12x-3y=3
——————
Y=15
Y=15
Put y=15 ineq (1)
3x-15=3
3x=3+15
X=18/3=6
Fraction= 6/15
Ist condition...
X-1/y=1/3
3(x-1)=y
3x-3=y
3x-y=3...1)
2nd condition...
X/y+1=1/4
4x=y+1
4x-y=1....(2)
From (1) and (2)
3x-y=3...(1)*4
4x-y=1...(2)*3
———————
12x-4y=12
12x-3y=3
——————
Y=15
Y=15
Put y=15 ineq (1)
3x-15=3
3x=3+15
X=18/3=6
Fraction= 6/15
ramkalbande:
the ans is 5/12
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