one number is 5 times another. the sum of the number is 300. what are the numbers?

Question

i need to make an equation and solve it

Answer 1

Let x and y be the numbers.  

 

Let y = 5x (I arbitrarily picked y as the number that is 5 times the other)

 

Given:

 

x + y = 300

 

Substitute y = 5x and get

 

x + 5x = 300

 

6x = 300

 

x = 300/6 = 50

 

Then y = 5x = 5*50 = 250

 

Note x + y = 50 + 250 = 300, as given

 

The two numbers are 50 and 250.