SOLUTION: One number is 14 more than another. When half of the smaller number is added to the larger number, the sum is 59. What are the numbers?

Algebra ->  Conversion and Units of Measurement -> SOLUTION: One number is 14 more than another. When half of the smaller number is added to the larger number, the sum is 59. What are the numbers?       Log On


   

Question 801506: One number is 14 more than another. When half of the smaller number is added to the larger number, the sum is 59. What are the numbers?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
x = larger number
y = smaller number

x = y + 14
x + y/2 = 59

Use substitution.


y + 14 + y/2 = 59
3y/2 = 45
y = 30

The numbers are 44 and 30.