AlgebraVery hardLargest of three numbers from their mean and relations
Algebra practice question
The mean of three numbers is 10. The first number is twice the second, and the third is 6 more than the second. What is the largest of the three numbers?
Answer: 12
With second number s: 2s + s + (s + 6) = 30 gives 4s = 24, so s = 6 and the numbers are 12, 6, and 12; the largest is 12.
Common wrong answers
- If you answered 6
- 6 is the second number.
- If you answered 10
- 10 is the mean.
- If you answered 18
- 18 uses s = 12 for the third number plus 6.
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