Average of 6 numbers is 4, if the average of 2 numbers is 2 what is the average of other 4

Question

Average of 6 numbers is 4, if the average of 2 numbers is 2 what is the average of other 4

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Kennedy 1 week 2021-09-10T13:24:05+00:00 1 Answer 0

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    2021-09-10T13:25:13+00:00

    Answer:

    5

    Step-by-step explanation:

    Let’s just pretend the 6 numbers are: a,b,c,d,e,f.

    Then (a+b+c+d+e+f)/6 =4 (given by first statement.)

    Let’s pretend the average of 2 numbers is 2 means they are talking about the a and b.

    So (a+b)/2=2.

    Now we want to find (c+d+e+f)/4 as requested by their question.

    So first step multiply both sides of our first equation by 6 giving us:

    a+b+c+d+e+f=24

    So the second step multiply both sides of our second equation by 2 giving us:

    a+b=4.

    Now if a+b+c+d+e+f=24 and a+b=4, then c+d+e+f=20 since 20+4=24.

    So the average of the four numbers c,d,e, and f is 20/4=5.

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