The numerator of a fraction is 3 less than its denominator, if 2 is added to both the numerator and denominator, then the sum of new number and the original number is 29/20. Find the original fraction.
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According to the question
Let the denominator be x
And the numerator be x-3
Then,
x-3/x
Again two is added to both then it is equal to
29/20
Then,
x-3+2/x+2=29/20
29(x+2)=20(x-3+2)
29x+58=20(x-1)
29x+58=20x-20
29x-20x=-20-58
9x=-78
x=-8
Let the denominator be x
And the numerator be x-3
Then,
x-3/x
Again two is added to both then it is equal to
29/20
Then,
x-3+2/x+2=29/20
29(x+2)=20(x-3+2)
29x+58=20(x-1)
29x+58=20x-20
29x-20x=-20-58
9x=-78
x=-8
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