SOLUTION: the larger of two number is 10 less than twice the smaller number. The sum of the two numbers is 35. Find the two numbers.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: the larger of two number is 10 less than twice the smaller number. The sum of the two numbers is 35. Find the two numbers.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 957328: the larger of two number is 10 less than twice the smaller number. The sum of the two numbers is 35. Find the two numbers.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
the larger of two number is 10 less than twice the smaller number. The sum of the two numbers is 35. Find the two numbers.
L=larger number; S=smaller number
L=2S-10
S+L=35 Substitute for L
S+(2S-10)=35 Add 10 to each side.
3S=45 Divide each side by 3.
S=15 ANSWER: The smaller number is 15.
L=2S-10=2(15)-10=30-10=20 ANSWER 2: The larger number is 20.