Question

X and Y have a total of 500 marbles with them. If Y gives a certain number of marbles to X, X will have four times the number marbles that Y has. If X gives the same number of marbles to Y, the number of marbles with X will be 2/3rd of what Y has. Find the difference between the number of marbles they had initially.

Answer 1

Answer:

Step-by-step explanation:

You get the functions x+y=500 marbles , y-z=4x , x-z= 2y/3

you separate z --> z=y-4x , z=x-2y/3  so  y-4x=-2y/3

Now you get the 2 functions  x+y=500 and y-4x=-2y/3

                                                 x=500-y>>>   y-4(500-y)=-2y/3

                                                                        y-2000+4y=-2y/3

                                                                        17/3y=2000

                                                                         y=2000x3/17

                                                                         y≅353

                                                                         x≅147