Question

the sum of the numerator and denominator of the fraction is 11 if 1 is added to the numerator and 2 is substracted from the denominator it becomes 2÷3 find the fraction

Answer 1

Heya !!!


Let numerator and denominator of fraction be. and Y.



According to the question,



Numerator + Denominator = 11


X + Y = 11 --------(1)



Fraction = Numerator/Denominator = X/Y




X + 1 / Y - 2 = 2/3



3 ( X + 1 ) = 2 ( Y - 2 )


3X + 3 = 2Y - 4



3X - 2Y = -4-3



3X - 2Y = -7 -------(2)




From equation (1) we get,



X + Y = 11


X = ( 11 - Y ) ------(3)


Putting the of X in equation (2).


3X - 2Y = -7


3 × ( 11 - Y ) - 2Y = -7


33 - 3Y - 2Y = -7




-5Y = -7-33



-5Y = -40


Y = -40/-5 = 8



Putting the value of Y in equation (3)



X = 11 - Y = 11-8 = 3


Numerator = X = 3

And,


Denominator = Y = 8



Fraction = Numerator/Denominator = 3/8.

Answer 2

Answer:

3/7

Step-by-step explanation: