Maths-
General
Easy

Question

fraction numerator x plus 1 over denominator left parenthesis 2 x minus 1 right parenthesis left parenthesis 3 x plus 1 right parenthesis end fraction equals fraction numerator A over denominator 2 x minus 1 end fraction plus fraction numerator B over denominator 3 x plus 1 end fraction, then 16 A plus 9 B equals

  1. 4    
  2. 5    
  3. 6    
  4. 8    

Hint:

Take LCM on LHS and simplify. Take a value of x and substitute in the simplified equation.
 

The correct answer is: 6


     Given :
    fraction numerator x plus 1 over denominator left parenthesis 2 x minus 1 right parenthesis left parenthesis 3 x plus 1 right parenthesis end fraction equals fraction numerator A over denominator 2 x minus 1 end fraction plus fraction numerator B over denominator 3 x plus 1 end fraction

    T a k i n g space L C M space o n space L H S
rightwards double arrow fraction numerator x plus 1 over denominator left parenthesis 2 x minus 1 right parenthesis left parenthesis 3 x plus 1 right parenthesis end fraction equals fraction numerator A left parenthesis 3 x space plus 1 right parenthesis space plus space B left parenthesis 2 x minus 1 right parenthesis over denominator left parenthesis 2 x minus 1 right parenthesis left parenthesis 3 x plus 1 right parenthesis end fraction

rightwards double arrow x space plus space 1 space equals space A left parenthesis 3 x space plus 1 right parenthesis space plus space B left parenthesis 2 x space plus 1 right parenthesis

O n space s i m p l i f y i n g

rightwards double arrow x space plus space 1 space equals space A 3 x space plus space A space plus space B 2 x space minus space B

rightwards double arrow x space plus space 1 space equals space A 3 x space plus space A space plus space B 2 x space minus space B

rightwards double arrow x space plus space 1 space equals space A left parenthesis 3 x space plus space 1 right parenthesis space plus space B left parenthesis 2 x space minus space 1 right parenthesis

T a k e space x space equals space 5
rightwards double arrow 6 space equals space 16 A space plus space 9 B space

    Book A Free Demo

    +91

    Grade*