Question

Jana is 25 years older than Tony. The sum their ages is 33 . How old are they?

Answer 1

By solving a system of linear equations, Jana is determined to be 29 years old and Tony is 4 years old.

Step-by-step explanation:

The question involves solving a system of linear equations to find the ages of Jana and Tony. Let's denote Tony's age as T and Jana's age as J. From the problem, we have two equations: J = T + 25 and J + T = 33. We can substitute the first equation into the second to find T.

• J = T + 25
• J + T = 33
• (T + 25) + T = 33
• 2T + 25 = 33
• 2T = 33 - 25
• 2T = 8
• T = 4

Now we know Tony is 4 years old. To find Jana's age, we use the first equation:

• J = T + 25
• J = 4 + 25
• J = 29

Therefore, Jana is 29 years old.