Three linked numbers: The first number is twice the second and half of the third. If the average of the three numbers is 56, find the numbers in order (first, second, third).

Introduction / Context:Ratio based constraints allow representation of all numbers in a single variable and then direct solution using the average.Given Data / Assumptions:

• First = twice the second
• First = half of the third
• Average of three = 56

Concept / Approach:Let the second be x. Then first = 2x and third = 4x. Use the average to solve x.Step-by-Step Solution:

Verification / Alternative check:Average = (48 + 24 + 96)/3 = 168/3 = 56. Correct.Why Other Options Are Wrong:

• Other orders fail the given relationships and the computed average simultaneously.

Common Pitfalls:Assigning the variable to the wrong number or reversing the given relationships.Final Answer: