Seudónimo Seudónimo
  • 21-12-2020
  • Mathematics
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Given: a=b+2c, b=3c. What is the average of numbers a, b and c?

Respuesta :

Leora03
Leora03 Leora03
  • 21-12-2020

Answer:

3c

Step-by-step explanation:

[tex]average = \frac{a + b + c}{3} [/tex]

Substitute a= b +2c:

[tex] \frac{a + b + c}{3} = \frac{b + 2c + b + c}{3} \\ \frac{a + b + c}{3} = \frac{2b + 3c}{3} [/tex]

Substitute b= 3c:

[tex] \frac{a + b + c}{3} = \frac{2(3c) + 3c}{3} \\ \frac{a + b + c}{3} = \frac{6c + 3c}{3} \\ \frac{a + b + c}{3} = \frac{9c}{3} \\ \frac{a + b + c}{ 3} = 3c[/tex]

Thus, the average of the 3 numbers is 3c.

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