numerator of a rational number is 3 less than its denominator if the numerator is increased by 1 and the denominator is increased by 3 the number became one by two find the rational number
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Let n be the Numerator;
Let m be the denominator;
m - n = 4 ; is one given equation; => m-4 = n;
(n + 15) / (m-4) = 6; is the second given equation.
The second equation can be written as:
(n + 15) / n = 6; Now solve for n using the fraction cross product:
6n = n+15; => 5n = 15; => n = 15/5 = 3; => m-4 = 3; = >m = 7;
The Rational number is : 3 / 7 ;
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