Question

if numerator of fraction is increased by 1,its value becomes 3/4.if its denominator is increased by 2,its value becomes 1/2.find the fraction

Answer 1

let the numerator be X
the denominator be Y
the fraction is X/Y
by first condition
Y+1X=3/4
X+Y=3/4
4x+4y=3...............eq 1
by second condition
x+2y=1/2
2x+4y=1.................eq 2
subtract eq 1 and eq 2
we get
4x+4y=3
2x+4 =1
- - -
________
2x =2
2x=2
x=2/2
x=1
put x=1 in eq 1
we get
2(1)+4y=1
2+4y=1
4y=1-2
4y=-1
y=-1/2

the fraction is x/y
1/-1/4
-4/1
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Answer 2

answer should be 5/8