SOLUTION: the sum of two numbers is 198. if one number is 20% more than the other number, what are the numbers?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: the sum of two numbers is 198. if one number is 20% more than the other number, what are the numbers?      Log On


   

Question 255691: the sum of two numbers is 198. if one number is 20% more than the other number, what are the numbers?
Answer by EMStelley(208) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call one number x and the other number y. Then from the first sentence we have
x+%2B+y+=+198
The second sentence tells us that
x+=+y+%2B+0.20y+=+1.2y
If we substitute 1.2y for x in the original equation we get
1.2y+%2B+y+=+198
2.2y+=+198
y+=+90
So one number is 90, and the other must be 108.