"I enjoy your website", wrote

Now, I wonder what Becky changed her search to? If Becky is going to change her search to try and arrive at an answer perhaps she wants to think about this idea.

**Alex** and
her family from Leicester, England worked on this Vuvvian problem.
Alex explains how they set about arriving at a solution:

- We started off by doing the seven times table, because that was how long the last moon took to go round Vuvv.
- Next, we checked if the multiples of seven were also in the 2x, 3x, 4x, 5x, 6x tables. This was so we'd know if they (Vuvv moons) would line up.
- We got fed up working out the multiples of seven, because they
got way too big. So, we used a calculator! We pressed
**+7===**to get the multiples of seven. - We found out that it would take
**210**Vuvvian years between each super eclipse.

Now although 210 years is a long time, Anita and Jing Jing from Kilvington Girls' Grammar in Australia, think that's only the half of it...in fact, they think that it is 420 year wait between Super-eclipses. But Thomas, from Suffolk, thinks it's way longer than that - twice as long.

He wrote: "There are 840 Vuvvianyears between the Super Eclipses. I worked it out by going through the 7 times table and writing it down seeing that this would be the hardest to divide by. I then realised that the number had to end in a zero because it had to be divisible by 5 and 2. That meant that all I had to do was find out if the multiples of 7 were divisible by 3, 4 and 6 and if they were multiply them by 10. In the end 84 was the lowest number divisible by 3, 4 and 6 so I multiplied it by 10 and got 840."

Franco and Jonny from Northamptonshire agree that is it 420. They say:

We started off with 42. Every number goes into 42, except 5, so we multiplied it by 5.

6 doesn't go into 210, so we went back to 42. We then multiplied 42 by 10, to get 420. We checked by dividing 420 by 1, 2, 3, 4, 5, 6 and 7. They are all factors of 420. So the overall answer is 420.

So, who is correct?