A Teaser a Day Keeps Alzheimer’s Away!

Understanding the Problem

In this mathematical puzzle, we have three integer variables: A, B, and C. The following equations are given:

1. A + B + C = 13
2. B + A = 1
3. B – A = 1

Determining the Values

We need to assess which of the following statements are true:

1. C = 12
2. A = 0
3. B = 3

Solution Analysis

Upon analyzing the equations B + A = 1 and B – A = 1, we can derive that A = 0 and B = 1. Substituting these values back into the first equation, we find:

C = 13 – (A + B) = 13 – (0 + 1) = 12.

Conclusion

Therefore, the correct statements are:

1. C = 12
2. A = 0

The statement B = 3 is incorrect.