The numerator of a rationol number is less than its denominator by 4.

1.	The numerator of a rationol number is less than its denominator by 4. If the numerator is multiplied by 2 and the denominator is increased by 4, the number becomes 14/15. find the number.
Answer» Given : Numerator of a Rational Number is LESS than its denominator by 4 . If the numerator is multiplied by 2 and the denominator is INCREASED by 4, the number becomes 14/15. To Find : The Number . Solution : $\longmapsto\tt{Let\:Denominator\:be=x}$ As Given that Numerator of a Rational Number is less than its denominator by 4 . So , $\longmapsto\tt{Numerator=x-4}$ Now , If the numerator is multiplied by 2 and the denominator is increased by 4, the number becomes 14/15. $\longmapsto\tt{Numerator=2(x-4)=2x-8}$ $\longmapsto\tt{Denominator=x+4}$ A.T.Q : $\longmapsto\tt{\dfrac{2x-8}{x+4}=\dfrac{14}{15}}$ $\longmapsto\tt{15(2x-8)=14(x+4)}$ $\longmapsto\tt{30x-120=14x+56}$ $\longmapsto\tt{30x-14x=56+120}$ $\longmapsto\tt{16x=176}$ $\longmapsto\tt{x=\cancel\dfrac{176}{16}}$ $\longmapsto\tt\bf{x=11}$ Value of x is 11 . Therefore : $\longmapsto\tt{Numerator=11-4}$ $\longmapsto\tt\bf{7}$ $\longmapsto\tt\bf{Denominator=11}$ So , The Rational Number is 7/11 ..

The numerator of a rationol number is less than its denominator by 4. If the numerator is multiplied by 2 and the denominator is increased by 4, the number becomes 14/15. find the number.

Answer»

Numerator of a Rational Number is LESS than its denominator by 4 .
If the numerator is multiplied by 2 and the denominator is INCREASED by 4, the number becomes 14/15.