+0

# The average of six numbers is 6. If 3 is subtracted from each of four of the numbers, what is the new average?

+3
866
5

The average of six numbers is 6. If 3 is subtracted from each of four of the numbers, what is the new average?

Guest Jul 21, 2014

#5
+80850
+16

Nice answer, ND........here's my slightly different approach......

Let the sum of the six numbers = S

So

S/6 = 6

And if 3 is subtracted from each of four numbers, we have...

(S -12) / 6 =

S/6 - 12/6 =

6 - 2   = 4

CPhill  Jul 22, 2014
Sort:

#1
+3450
+13

The average of 6 numbers is 6. This means that all 6 numbers have to add up to 36.

It doesn't matter what the numbers are, but in order to average out to 6, the sum of all the numbers divided by 6 has to equal 6.

The only thing that gives 6 when divided by 6 is 36.

Now, 3 is subtracted from 4 numbers, for a total of 12.

(36-12)/6 tells us our new average

24/6

4 is the new average.

#2
+3

Guest Jul 21, 2014
#3
+3450
+8

Anytime!

#4
+91437
+8

You have given an excellent answer Ninja.

Perhaps you would like to include it in your new sample questions thread.

Melody  Jul 22, 2014
#5
+80850
+16

Nice answer, ND........here's my slightly different approach......

Let the sum of the six numbers = S

So

S/6 = 6

And if 3 is subtracted from each of four numbers, we have...

(S -12) / 6 =

S/6 - 12/6 =

6 - 2   = 4

CPhill  Jul 22, 2014

### 28 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details