SOLUTION: The sum of two numbers is90 and the greater number exceeds twice the smaller by 15.find the numbers.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The sum of two numbers is90 and the greater number exceeds twice the smaller by 15.find the numbers.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 996434: The sum of two numbers is90 and the greater number exceeds twice the smaller by 15.find the numbers.
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the smaller number x and the larger number y. The first sentence tells us
x + y = 90
The second sentence tells us
y = 2x + 15
Now solve the first and substitute into the second
y = 90 - x and
90 - x = 2x + 15
75 = 3x
x = 25
y = 65