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sleet_krkn [62]
3 years ago
14

The average of 7 numbers is 60. The average of the first three numbers is 50, while the average of the last three is 70. What mu

st be the remaining number?
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
4 0

From the last two facts, we get

\dfrac{x_1+x_2+x_3}3=50\implies\dfrac{x_1+x_2+x_3}7=\dfrac{150}7

\dfrac{x_5+x_6+x_7}3=70\implies\dfrac{x_5+x_6+x_7}7=30

Then

\dfrac{x_1+x_2+\cdots+x_6+x_7}7=60\implies\dfrac{x_4}7=60-\dfrac{150}7-30\implies\boxed{x_4=60}

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