SOLUTION: The product of two positive numbers is 84. Find the two numbers if one number is 2 more than twice the other.

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Question 990292: The product of two positive numbers is 84. Find the two numbers if one number is 2 more than twice the other.
Answer by macston(5194) About Me  (Show Source):
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F=first number; S=second number=2F+2
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F%2AS=84
F%2A%282F%2B2%29=84
2F%5E2%2B2F=84
2F%5E2%2B2F-84=0
F%5E2%2BF-42=0
%28F-6%29%28F%2B7%29=0
F-6=0 OR F%2B7=0
F=6 OR F=-7
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ANSWER 1:Since the number s must be positive, the first number is 6.
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S=2F+2=2(6)+2=12+2=14
ANSWER 2: The second number is 14
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CHECK:
F*S=84
(6)(14)=84
84=84