Question

the difference between the sum of 6 integers whose average is x and the sum of 3 numbers whose average is 2x-2 is?

Answer 1

The sum of the integers given the number of integers and their average is calculated by multiplying the number and the average. This is mathematically expressed as below,
Sum = (n)(m)
where n is the number and m is the average or mean.

For the first set,
Sum = (6)(x) = 6x

For the second set,
Sum = (3)(2x - 2)
= 6x - 6

If we are to subtract the second sum from the first,
Difference = (6x) - (6x - 6)
= 6x - 6x + 6

Hence, the answer is 6.