Liza is twice as old as Shawn, and Shawn is one year older than Wendy. If Liza is y years old and Wendy is x years old, then which of the following equations is a true statement?

Rationale

y = 2(x + 1)

Liza is twice as old as Shawn, who is one year older than Wendy. By expressing Shawn's age in relation to Wendy's, we can derive the correct equation that represents Liza's age in terms of Wendy's age.

A (y = x + 1) YOUR ANSWER

This equation suggests that Liza is only one year older than Wendy, which contradicts the information given. Since Shawn is one year older than Wendy, this would mean Liza is not correctly represented as twice Shawn's age in this scenario.

B (y = 2x) YOUR ANSWER

This equation states that Liza is twice as old as Wendy, which is incorrect. The problem specifies that Liza is twice as old as Shawn, not Wendy. Thus, this option does not reflect the relationships provided in the question.

C (y = 2x + 1) YOUR ANSWER

While this equation suggests that Liza is twice Wendy's age plus one year, it misinterprets the relationships. Liza's age should solely depend on Shawn's age, which is not accounted for in this equation.

D (y = 2(x + 1)) CORRECT

This equation correctly indicates that Liza is twice Shawn's age, with Shawn being one year older than Wendy (x + 1). Thus, it accurately represents the relationships given in the problem statement.

Conclusion

The relationships among Liza, Shawn, and Wendy clearly establish that Liza's age is derived from Shawn's, who is one year older than Wendy. The equation y = 2(x + 1) accurately captures this relationship, confirming that Liza's age is twice that of Shawn's age. Therefore, understanding the proper connections between their ages is crucial for solving the problem correctly.

Liza is twice as old as Shawn, and Shawn is one year older than Wendy. If Liza is y years old and Wendy is x years old, then which of the following equations is a true statement?

y = 2(x + 1)

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