SOLUTION: The difference between two numbers is 40. Four times the smaller is equal to 5 more than the larger. What are the numbers?

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Question 1004749: The difference between two numbers is 40. Four times the smaller is equal to 5 more than the larger. What are the numbers?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the larger and smaller numbers x and y.
Then we have
x - y = 40 or x = y + 40
and
4y = x + 5
Substitute the first into the second and get
4y = y + 40 + 5
3y = 45
y = 15 and then
x = 55