Question

Jason is five years older than Becky, and the sum of their ages is 23. What are their ages?

Use substitution to solve this system of equations.
Jason is 9. Becky is 14.
O Becky is 12. Jason is 11.
Jason is 12. Becky is 11.
Jason is 14. Becky is 9.

Answer 1

Jason is 14. Becky is 9.

Step-by-step explanation:

Problem:

Jason is five years older than Becky, and the sum of their ages is 23. What are their ages?

Solution:

Let's assign variables to their ages. Let's say Becky's age is x. Since Jason is five years older, his age would be x + 5.

We know that the sum of their ages is 23. So, we can write the equation: x + (x + 5) = 23.

By simplifying the equation, we get 2x + 5 = 23. Solving for x, we find x = 9.

Therefore, Becky is 9 years old, and Jason is 9 + 5 = 14 years old.

Final Answer:

Becky is 9 years old. Jason is 14 years old.

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