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The sum of numerator and denominator of a fraction is 3 less than twice thedenominator. If each of the numerator and denominator is decreased by 1,the fraction becomes 1/2 Find the fraction. |
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Answer» Let the required fraction be `(x)/(y)`. Then, ` (x+ y ) = 2y- 3 rArr x - y = - 3 ` And , ` (x - 1 ) /( y - 1 ) = (1)/(2)rArr 2 x - 2 = y - 1 ` `" " rArr 2 x - y = 1 ` On substracting (i) from (ii), we get ` x= 4`. Putting ` x= 4` in (i), we get ` y = x+ 3 = 4 + 3 = 7` ` therefore x = 4 and y = 7` Hence, the required faction is ` ( 4)/(7)` |
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