Respuesta :

Answer:  The numbers are 172  and 43

Step-by-step explanation:

We will represent the numbers by x and y  

where x is the positive number and y is the other number.

So x the positive number is 4 times the other number which could be represented by the equation x = 4y  

And the difference between x and y is 129  which could also be represented by the equation  x - y = 129  

Now use both equations to solve for y and x  

x = 4y  

x-y = 129   Substitute the value for x into the second equation

4y - y = 129

 3y = 129  

   y =  43  so we know that y is 43  and  x is 4 times it

x = 4(43)

x= 172  

So the numbers are 172 and 43 .

Check:

172 - 43 = 129

   129 = 129