Challenging Brain Teaser for May 6 to Boost Your Cognitive Skills

Determining John’s Age

Age Relationships

John is three times younger than his father and two times older than his brother, Jim.

Given Information

Jim is 40 years younger than his father.

Setting Up Equations

Let:
– X represent John’s age
– F represent the father’s age
– J represent Jim’s age

From the relationships, we can derive the following equations:
1. 3X = F (John is three times younger than his father)
2. X/2 = J (John is two times older than Jim)
3. J + 40 = F (Jim is 40 years younger than his father)

Solving the Equations

By solving this system of equations, we find:
– From equation 2, we can express J as J = X/2.
– Substituting J into equation 3 gives us X/2 + 40 = F.
– Now, substituting F from equation 1 into this equation results in 3X = X/2 + 40.

Solving for X leads us to the conclusion that X = 16.

Conclusion

Thus, John is 16 years old.