15. The numerator of a fraction is 7 less than the denominator. If 3 is added to the numerator and 2 is added to the
denominator, the value of the fraction becomes 2/3Find the original fraction.
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let the numerator be x-7 and denominator be x
according to the question
3+x-7/2+x = 2/3
x-4/2+x = 2/3
2(2+x) = 3(x-4)
4+2x = 3x-12
2x-3x = -12-4
-x = -16
x = 16
hence, numerator = 16-7 = 9
denominator = 16
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