Question
The average of five numbers is 18. If one number is excluded, the average becomes 15. Find the excluded number.
The average of five numbers is 18. If one number is excluded, the average becomes 15. Find the excluded number.
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Koala Tutor
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Let $x$ be the excluded number. If the average of the 5 numbers is 18, then their sum is $5(18)=90$. If the average of the 4 remaining numbers is 15, then their sum is $4(15)=60$. Thus, $90-60=30$ which is the excluded number.
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