SOLUTION: . The difference between two numbers is 12. Four times the larger number decreased by eight is the same is five times the smaller number increased by 10. What are the two numbers

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Question 1021979: . The difference between two numbers is 12. Four times the larger number decreased by eight is the same is five times the smaller number increased by 10. What are the two numbers?
Answer by TigerAlgebra(40) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the two numbers x and y
Now, let's build our equations based on the information in the question.
The difference between two numbers is 12.
We assume x is the larger one and get:
x-y=12
Four times the larger number decreased by eight is the same is five times the smaller number increased by 10
4%2Ay-8=5%2Ax%2B10
Solve the two linear equations with two unknowns using substitution
Final Answer
x=-66+
y=-78