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Denominator of a rational number is 4 less than its numerator. If 11 is added to numerator and 1 is subtracted from denominator then the new number becomes 7/3 . Find the rational number. |
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Answer» Let the rational number be yx Given, Denominator of rational number is 4 less than its numerator =>y=x−4=>x−y=4 --- (1)Also, if 11IS added to numerator and 1 is subtracted from denominator the new number, then number = y−1x+11 = 37 =>3x+33=7y−7=>3x−7y=−40 --- (2)Multiplying equation (1) with 3 we get, 3x−3y=12 ----- equation (3)SUBTRACTING equation (3)from (2), we get 4y=52=>y=13Substituting y=13 in THEEQUATION (1), we get x=13=4=>x=17Hence, the number is 1317 |
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