SOLUTION: The difference between two numbers is 30 and the larger number is eight fifths of the smaller number. Find the two numbers.

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Question 985915: The difference between two numbers is 30 and the larger number is eight fifths of the smaller number. Find the two numbers.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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L=larger number=(8/5)S ; S=smaller number
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L-S=30 Substitute for L.
(8/5)S-(5/5)S=30
(3/5)S=30 Multiply by 5/3.
S=50 ANSWER 1: The smaller number is 50.
L=(8/5)50=400/5=80 ANSWER 2: The larger number is 80.