Question

sum of the numerator and denominator of a fraction is 4 more than the twice of the numerator if the numerator and denominator are increased by 3 they are in the ratio 2 : 3 determine the refraction

Answer 1

Let the numerator be x and denominator be y.
B.G.C
x + y = 4 + 2x
y - 4 = x ............(i)
B.G.C
x + 3 / y + 3 = 2 / 3
3 ( x + 3 ) = 2 ( y + 3)
= 3 x + 9 = 2y + 6
3 x = 2y - 3
x = 2y - 3 / 3 ...........( ii )
from i and ii
y - 4 = 2y - 3 / 3
3y - 12 = 2y - 3
y = 9
x = y - 4 = 5
the fraction will be 5 / 9
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