The denominator of a rational number is greater than its numerator by

1.	The denominator of a rational number is greater than its numerator by 7 if numerator is increased by 19 and denominator is decreased by 3 the new number become 4 find the original numberplz tell me fast
Answer» Answer:- The Original Rational Number Is $\bf\dfrac{1}{8}$ . Explanation:- Given:- The Denominator of a rational Number is greater than its numerator by 7. If the numerator is increased by 19 and denominator is decreased by 4 the result would be equal to 4. To FIND:- The original number. So, Let the numerator of the rational number be x. So its denominator will be equal to x + 7. And The Original Number will be, $\bf\dfrac{x}{x+7}.$ THEREFORE Acc. To Que.:- $\tt\mapsto4 = \dfrac{x+ 19}{x + 7 - 3} . \\$ $\tt\mapsto4 = \dfrac{x + 19}{x + 4}. \\$ $\tt\mapsto4(x + 4) = x + 19. \\$ $\tt\mapsto4x + 16 =x + 19. \\$ $\tt\mapsto4x - x = 19 - 16. \\$ $\tt\mapsto3x = 3. \\$ $\tt\mapsto x = \cancel \dfrac{3}{3} . \\$ $\large \red{\mapsto \boxed{ \blue{ \bf x = 1.}}}$ Therefore The Original Number is, $\tt= \dfrac{x}{x + 7} . \\$ $\tt = \dfrac{1}{1 + 7} . \\$ $\large\red{\boxed{\blue{ \bf = \frac{1}{8}.}}}$ So The Required Rational Number is 1/8.