The average of one group of numbers is 4. A second group contains twice as many numbers and has an average of 10. What is the average of both groups of numbers?

Question

mokeira · Answer

$$\frac{ 10+4 }{ 2 }$$
im just guessing

sepeario · Answer

Sorry @Mokeira that is wrong the answer is 8.

mokeira · Answer

could you explain to me how

sepeario · Answer

That's what I'm asking lol! @Mokeira

mokeira · Answer

lol...lemme ask a couple of people

mokeira · Answer

@aryandecoolest

mokeira · Answer

@midhun.madhu1987

mokeira · Answer

@hopelovelift

mokeira · Answer

@ganeshie8

mokeira · Answer

@Preetha

mokeira · Answer

@thomaster

mokeira · Answer

https://answers.yahoo.com/question/index?qid=20140807031842AABqfvH

anonymous · Answer

I would love to help however it seems like I am not capable? Is there anymore data available? e,g what numbers are in group one and two. It feels like the questions is lacking values.

sepeario · Answer

Yeah, @hopelovelift thats it unfortunately.

mokeira · Answer

let the total of numbers in the group be x
so the get the total multiply average by x
=4x

The other group has a total of 2x members
so total when you multiply by 10 is 20x

and total members is x+2x=3x
so new average is 
$$\frac{ (20x+4x) }{ 3x }$$
Ans=8

hope you have understood

anonymous · Answer

LOOL nvm, I was soo close as well. You bet me too it mokeira

mokeira · Answer

hahaha...yaay!!! That was a great question!

anonymous · Answer

Not going to lie, I had to manually input numbers in first. For example 4+4/2=4
10+20+5+5/4=10 Then I realized theres a pattern... This question took me a while. Was fun solving though.

anonymous · Answer

Oh just now saw the question...anyways you guys are brilliant :)