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February 7, 2016

# Homework Help: Maths!

Posted by -=-=-=-=-=-=-=-=-=-=- on Saturday, June 25, 2005 at 10:56am.

There has just been a planetary alignment of five planets in the system Blogg, all the astrologers have gone loopy, and they want to know when the next occurance of these five planets will happen again.

Krypton the nearest planet to the sun takes 6 days to orbit the sun.
Zenon the next planet takes 23 days to orbit the sun.
Argon the middle planet take 37 days.
Neon the largest planet takes 68 days.
And Radon the last planet take 137 days to orbit the sun.

25000 + 1200

its wrong anyways :/

The answer is 23,783,748 days. There will certainly be an alignment after
6 X 23 X 37 X 68 X 137 = 47,567,496 days. However, the first alignment
will occur after the smallest number of days that can be divided by 6,
23, 37, 68, and 137 to give an integer. To find this numer, we look at the
factors of all of these numbers: 23, 37, and 137 are prime, 6 = 2 X 3,
and 68 = 2 X 2 X 17. Thus we need 2 X 2 X 3 X 17 X 23 X 37 X 137 =
23,783,748 days.

The answer is 23,783,748 days. There will certainly be an alignment after
6 X 23 X 37 X 68 X 137 = 47,567,496 days. However, the first alignment
will occur after the smallest number of days that can be divided by 6,
23, 37, 68, and 137 to give an integer. To find this numer, we look at the
factors of all of these numbers: 23, 37, and 137 are prime, 6 = 2 X 3,
and 68 = 2 X 2 X 17. Thus we need 2 X 2 X 3 X 17 X 23 X 37 X 137 =
23,783,748 days.

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