One seventh of a number added to one third of the same number is 67 . Find the number. Express your answer as a fraction in simplest form

Question

well all you have to do is find the fraction

Answer 1

Let x=the number

(1/7)x+(1/3)x=67

LCD is 7*3=21

Multiply your equation by the LCD (21):

(21/7)x+(21/3)x=1407

3x+7x=1407

10x=1407

x=1407/10

Answer 2

 

a) write an equation using  the info. given:

 

Let X = the number we are looking for

 

then, 1/7 X  +  1/3  X  = 67  (equation)

 

b) add the fractions:

 

     1/7 X  + 1/3 X  = 10/21 X

 

now you have :  10/21 X = 67

 

solve for X:

 

   X = 67 / (10/21)

 

    X = 140.7

 

c) plug the value of X:

 

 1/7 (140.7)  +  1/3 (140.7)  = 67