This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Answer
C. 16
Step 1: Define variables for each person's age. Let Tony's age be . Let Josh's age be . Let Cindy's age be . Let Evan's age be .
Step 2: Write equations based on the given information. • "Tony is four years younger than his brother Josh": • "Tony is two years older than his sister Cindy": • "Tony also has a twin brother, Evan": • "All the ages of the children totaled together is 66":
Step 3: Substitute the expressions for , , and in terms of into the total age equation.
Step 4: Simplify and solve the equation for . Combine the terms: Combine the constant terms: Subtract 2 from both sides: Divide by 4:
Step 5: Select the correct option. Tony's age is 16. Comparing this to the given options: A. 14 B. 20 C. 16 D. 22 Option C matches our calculated age.
The final answer is
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Define variables for each person's age. Let Tony's age be T.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.