Question

if two is adde to denomiator of a rational number it becomes 1/3 and if 4 is added to the numerator it becomes 1/2 .then sum of the numerator and Denamerator of the rational is:​

Answer 1

Answer:

41

Step-by-step explanation:

Let the rational number be x/y:

Acc to 1st condition:

x/y+3=1/3

x=1/3×y+3/1

x=y+3/3 ----(1)

Acc to second condition:

x+4 =1/2

from (1)

y+3/3 +4 =1/2 y

y+3/3 - 1/2y = -4

$2(y + 3) - 3y \div 6 = - 4$

-y +6/6 = -4

-y +6 = -24

y = 30

putting in (1)

x = 11

x+y = 30 +11 = 41