SOLUTION: The ratio between the ages of X and y today is 20:1.Six years later,the ratio of their ages will be 5:1.Find the age of X today.

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Question 828246: The ratio between the ages of X and y today is 20:1.Six years later,the ratio of their ages will be 5:1.Find the age of X today.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The ratio between the ages of X and y today is 20:1.
x%2Fy = 20%2F1
Cross multiply
x = 20y
Six years later, the ratio of their ages will be 5:1.
%28x%2B6%29%2F%28y%2B6%29 = 5%2F1
x + 6 = 5(y+6)
x + 6 = 5y + 30
x = 5y + 30 - 6
x = 5y + 24
Replace x with 20y
20y = 5y + 24
20y - 5y = 24
15y = 24
y = 24/15
y = 8/5
y = 1.6 yrs old
then
x = 20(1.6)
x = 32 years old