SOLUTION: The LCM of 2 consecutive numbers is greater than 200 and is a multiple of seven. Name the numbers.

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Question 93825This question is from textbook
: The LCM of 2 consecutive numbers is greater than 200 and is a multiple of seven. Name the numbers. This question is from textbook

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I come up with 27,28.
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I let the numbers be x and x+1.
EQUATION:
x(x+1) > 200
Look at x^2+x-200=0
Using the quadratic formula x is around 28.
27*28 is greater than 200 and
28 has 7 as a factor so the LCM would be a multiple of 7
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Cheers,
Stan H.