In a fraction of numerator is increased by 2 and denominator is decreased by 3 the the fraction become 1 instead if numertor is decreased by 2 and denominator is increased by 3 then he became 3/8 then the fraction is
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let fraction is x / y
x + 2/ y - 3 = 1
x + 2 = y - 3
x - y = -5
Take -1 common we get
-x + y = 5 eq1
x - 2/y + 3 = 3/8
8 (x - 2) = 3 (y + 3)
8x - 16 = 3y + 9
8x - 3y = 25 eq2
Multiply eq 1 by 3 we get
-3x + 3y = 15
8x -3y = 25
5x = 40
x = 8
Put x in eq1
-8 + y = 5
y = 13
Fraction is x/y = 8/13
Thanks
x + 2/ y - 3 = 1
x + 2 = y - 3
x - y = -5
Take -1 common we get
-x + y = 5 eq1
x - 2/y + 3 = 3/8
8 (x - 2) = 3 (y + 3)
8x - 16 = 3y + 9
8x - 3y = 25 eq2
Multiply eq 1 by 3 we get
-3x + 3y = 15
8x -3y = 25
5x = 40
x = 8
Put x in eq1
-8 + y = 5
y = 13
Fraction is x/y = 8/13
Thanks
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