Answer:
x : y = 4 : 1
Step-by-step explanation:
(x+20) : (y+20) = 5 : 2 and (x-5) : (y-5) = 5 : 1
When we multiply the outer and inner members we get:
2x+40 = 5y+100 and x-5 = 5y-25
When we arrange the both equations we get:
2x-5y = 60 and x-5y = -20
When we subtract second equation from the first we get:
x = 80 Now we will replace x=80 in the second equation and get:
80-5y = -20 => -5y= -20-80 => -5y= - 100
Now we will multiply the both sides with number (-1) and get:
5y= 100 => y= 100/5 = 20 => y=20
x : y = 80 : 20 => x : y = 4 : 1
God with you!!!