SOLUTION: The sum of two numbers is 21.the smaller number is1 more the one- third if the lager number . What are the two numbers

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Question 955396: The sum of two numbers is 21.the smaller number is1 more the one- third if the lager number . What are the two numbers
Answer by macston(5194) About Me  (Show Source):
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S=smaller number; L=larger number
S=1/3L+1
S+L=21 Substitute for S
1/3L+1+L=21 Subtract 1 from each side.
4/3L=20 Multiply each side by 3/4.
L=15 ANSWER 1: The larger number is 15
S=1/3(L)+1=1/3(15)+1=5+1=6 ANSWER 2: The smaller number is 6.