# 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?

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ok i got it...

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ok i got it...

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So given let s = sum

so average = 4 of s is s/x =4

s = 4x

similarly s₁ = sum

so 2nd average = 10 of s is s/2x = 10

s₁ = 20x

so average of the total numbers is

so total sum of the numbers = 20x + 4x =24x

so total numbers = x+2x = 3x

average = total sum/total numbers

so

24x/3x = 24/3

so the average is 8

so average = 4 of s is s/x =4

s = 4x

similarly s₁ = sum

so 2nd average = 10 of s is s/2x = 10

s₁ = 20x

so average of the total numbers is

so total sum of the numbers = 20x + 4x =24x

so total numbers = x+2x = 3x

average = total sum/total numbers

so

24x/3x = 24/3

so the average is 8