SOLUTION: The sum of two numbers is 18. Twice the smaller number decreased by three equals the larger number. What are the two numbers? Show your work

Question 1078440: The sum of two numbers is 18. Twice the smaller number decreased by three equals the larger number. What are the two numbers? Show your work
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
let's numbers be and where is the smaller number
if the sum of two numbers is , we know that
........solve for
.........eq.1
if twice the smaller number by three equals the larger number, we have
.....eq.2
in eq.1 and eq.2 we see that left sides are equal; so, right sides are equal too
....solve for

go to .....eq.2, substitute and solve for

so, your two numbers are and

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