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the numerator of a rational number is 8 less than its denominator if the numerator is increased by 2 and the denominator is decreased by 1 the number obtained is 1 upon 2 find the number |
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Answer» -The NUMERATOR of a rational NUMBER is 8 less than its denominator if the numerator is INCREASED by 2 and the denominator is decreased by 1 the number obtained is 1 /2 .Tᴏ ғɪɴᴅ :-Rational Number sᴏʟᴜᴛɪᴏɴ :-Let the rational number be X / ythen, According to 1st Condition :-➦ Numerator = Denominator - 8➦ x = (y - 8) . ----(1)According to 2nd Condition :-We get, ➦ 2x - y = -5 .---(2)Put the value of (1) in (2) , we get, ➮ 2x - y = -5➮ 2(y - 8) - y = -5➮ 2y - 16 - y = -5➮ y = -5 + 16➮ y = 11Put y = 11 in (1) , we get, ➮ x = y - 8➮ x = 11 - 8➮ x = 3Hence, Rational Number is x/y = 3/11 |
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