Question

If the earth travels around the sun one time each year and Jupiter travels around the sun one time every 12 years and they met at a point in 2002 when would they meet at the point again?

Answer 1

They will meet again in 2014

Explanation:

Once every year the Earth will go back through the point where it met with Jupiter. Let's write those years:

Earth = {2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016...}

Once every 12 years Jupiter will go back through the point where it met with the Earth. Let's write it down:

Jupiter= {2002, 2002+12=2014, 2014+12=2026, 2026+12=2038...}

The Earth and Jupiter will meet again for the first time (after 2002) the year they both go trought that point.

Earth = {2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016...}

Jupiter= {2002, 2014, 2026, 2038...}

As we can see, 2014 is the first year the'll meet again.