SOLUTION: the sum of two numbers is 80.if the greater is increased by 10,it is equal to twice the smaller.find the numbers.

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: the sum of two numbers is 80.if the greater is increased by 10,it is equal to twice the smaller.find the numbers.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 808607: the sum of two numbers is 80.if the greater is increased by 10,it is equal to twice the smaller.find the numbers.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
x + y = 80
Make x the larger number.
x + 10 = 2y
x = 2y - 10
Substitute x = 2y - 10 into:
x + y = 80
(2y - 10) + y = 80
2y - 10 + y = 80
Collect like terms.
2y + y = 80 + 10
3y = 90
y = 30
Small number = 30
Large number = 50
Hope this helps.
:-)