SOLUTION: One number exceeds a second number by 18, and the sum of twice the greater number and three times the smaller number is 86. What are the two numbers.

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Question 853159: One number exceeds a second number by 18, and the sum of twice the greater number and three times the smaller number is 86. What are the two numbers.
Answer by harpazo(655) About Me  (Show Source):
You can put this solution on YOUR website!

Let x = large number
Let y = small number
x = y + 18
2x + 3y = 86
You have a system of linear equations in two variables.
Use the substitution method to solve.