Thatzidn
Answered

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For what value of x will x be the average of 2, 4x, 6, 8, 10?

Sagot :

So we take the average of all these numbers, and consider that x will be the average answer.

In taking the average, we add all the numbers we have to add and divide that sum on how many they were. In this case, we divide it to 5.

[tex] \frac{2+4x+6+8+10}{5}=x [/tex]

Then, we get:
[tex]4x+26=5x[/tex]

Transposing 4x to the right-hand side, we will have:
[tex]26=5x-4x[/tex]

Finally, we get:
[tex]26=x[/tex]

Checking:
[tex] \frac{2+4(26)+8+10}{5}=? [/tex]

Doing the necessary computations, the average is 26 which is x. Therefore, we got a correct answer.