SOLUTION: The sum of two numbers is 63. The second is 6 more than 2 times the first. What are the two numbers?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The sum of two numbers is 63. The second is 6 more than 2 times the first. What are the two numbers?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 124564: The sum of two numbers is 63. The second is 6 more than 2 times the first. What are the two numbers?
Answer by iluvbuilding429(41) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is 63. The second is 6 more than 2 times the first. What are the two numbers?


Ok, so you know that your second number is 2x+6. If you plug that and the 63 into an equation, you get:
63=x%2B2x%2B6


Add:
63=3x%2B6


Subtract 6 from both sides:
57=3x


Divide both sides by 3:
19=x


So now you know your first number. To find the second, use 2x+6.
2%2819%29%2B6


Multiply:
38%2B6


Add:
44


So, your first number is 19, and your second number is 44.


To check, simply plug the numbers in:
63=19%2B44


Add:
63=63