In a rational number, twice the Numerator is 2 more that the denominator. If 3 is added to each, numerator and denominator, the fraction becomes ⅔. Find the original number.
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Given : a rational number, twice the Numerator is 2 more that the denominator. If 3 is added to each, numerator and denominator, the fraction becomes ⅔.
To Find : the original number.
Solution:
rational number = N/D
2N = D + 2
=> D = 2N - 2
=> 2D = 4N - 4
(N + 3)/ (D + 3) = 2/3
=> 3N + 9 = 2D + 6
=> 3N + 3 = 2D
3N + 3 = 4N - 4
=> N = 7
D = 12
7/12 is the rational number
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