SOLUTION: If one number is 10 more than a second number and their sum is sixteen. What are the numbers?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: If one number is 10 more than a second number and their sum is sixteen. What are the numbers?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 237524: If one number is 10 more than a second number and their sum is sixteen. What are the numbers?
Found 2 solutions by checkley77, College Student:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x+x+10=16
2x=16-10
2x=6
x=3 ans. for the smaller number.
3+10=13 ans. for the larger number.
Proof:
3+13=16
16=16

Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
You can write this problem algebraically this way:
%28x%2B10%29%2Bx=16
Then solve for x.
2x=16-10
2x=6
x=6%2F2
x=3
You can check your result by substituting this value in the original equation to ensure it matches.
So, one number is x+10=13
the other is x=3
When you add them both, your result is 16.