SOLUTION: The sum of two positive numbers is 45. The difference between those two numbers is 9. What is the value of the larger number?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The sum of two positive numbers is 45. The difference between those two numbers is 9. What is the value of the larger number?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 964980: The sum of two positive numbers is 45. The difference between those two numbers is 9. What is the value of the larger number?

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
L=larger integer; S=smaller integer
L-S=9
L=9+S Use this to substitute for L
L+S=45 Substitute for L.
(9+S)+S=45 Subtract 9 from each side.
2S=36 Divide each side by 2.
S=18 The smaller integer is 18.
L=9+s=9+18=27 ANSWER: The larger integer is 27.
.
CHECK:
.
L+S=45
27+18=45
45=45
.
L-S=9
27-18=9
9=9