SOLUTION: The sum of two numbers is 23. The larger number of two numbers is one less than twice the smaller. Find the numbers.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The sum of two numbers is 23. The larger number of two numbers is one less than twice the smaller. Find the numbers.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 169298: The sum of two numbers is 23. The larger number of two numbers is one less than twice the smaller. Find the numbers.
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
lets call the numbers a and b(we will call b the larger)
a+b=23
b=2a-1
substitute b's value from 2nd equation into the 1st equation
:
a+(2a-1)=23
:
3a=24
:
highlight%28a=8%29 the smaller number
highlight%28b=2%288%29-1=15%29the larger number