the sum of the numerator and the denominator of a fraction is 9 if 3 is added to each of the numerator and denominator it's become 1/2find the fraction by elimination method
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Answer:
x = 6 and y = 3
Step-by-step explanation:
Let's assume that
denominator = y, numerator = X
So their sum
x+y = 9
y = 9-x
and if 3 is added to both their fraction become
\frac{x + 3}{y + 3} = \frac{1}{2}
y+3
x+3
=
2
1
Cross multiple
2x +6 = y +3
putting value of y
2x +6 = (9-x) +3
2x +6 = 9 - X +3
2x +X = 12 +6
3x = 18
x = 18/3
x = 6
y = 9-x
so, y = 9-6
y = 3
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