Pregunta
- If the average (arithmetic mean) of
and 2 is
equal to the average of
, and 4 , what is the
value of
?
(A) 2
(B) 4
© 8
(D) 10
(E) 16
equal to the average of
value of
(A) 2
(B) 4
© 8
(D) 10
(E) 16
Ask by Boyd Hill. in China
Mar 18,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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Solución
We are given that the average of
and
is equal to the average of
and
.
-
The average of
and is: -
The average of
is: -
Set the two averages equal to each other:
-
To eliminate the denominators, multiply both sides by
(the least common multiple of and ): This simplifies to: -
Distribute on both sides:
-
Subtract
from both sides: -
Subtract
from both sides:
Thus, the value of
is
.
Respondido por UpStudy AI y revisado por un tutor profesional
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Beyond the Answer
To find the value of
, we start with the information given about the averages. The average of
and 2 is:
The average of
and
is:
According to the problem, these two averages are equal:
To eliminate the fractions, we can cross-multiply:
Expanding both sides:
Now, isolate
:
Thus, the value of
is
. The correct answer is © 8.

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