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?

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) (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
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