SOLUTION: The larger of two numbers is 2 more than 4 times the smaller. Their sum is 67. FIND THE numbers

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Question 804723: The larger of two numbers is 2 more than 4 times the smaller. Their sum is 67. FIND THE numbers
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the smaller and let y be the larger.
y = 4x + 2 <-- "The larger of the two numbers is 2 more than 4 times the smaller."
x+y = 67 <--- "The sum is 67"

We have a system of equations, and since we have one of these already solved (equation 1), then we are going to use substitution.
Therefore I will use y=4x+2 for my 2nd equation and get everything in terms of x.
x + (4x+2) = 67
5x + 2 = 67
5x = 65
x = 13
Since x = 13, then 13 + y = 67, so y = 54.
13, 54.