The problem states:

• Ajay is younger than Vijay by 3 years.
• The sum of their ages is 25 years.

We need to determine the age of each person.

Solution:

Let Vijay's age be $x$. Then Ajay's age is $x - 3$.

The sum of their ages is given as: $x + (x - 3) = 25$

Simplify: $2x - 3 = 25$

Add 3 to both sides: $2x = 28$

Divide by 2: $x = 14$

Thus:

• Vijay's age is $14$ years.
• Ajay's age is $14 - 3 = 11$ years.

Final Answer:

• Vijay's age: 14 years
• Ajay's age: 11 years

Let me know if you'd like further explanation! Here are some related questions for practice:

1. What would the ages be if the sum of their ages was 30 years?
2. How would the solution change if Ajay was 5 years younger than Vijay instead of 3?
3. If Ajay’s age was doubled, would the sum still be 25?
4. How old will each person be in 5 years?
5. Can you create a similar problem and solve it yourself?

Tip: Always verify your solution by plugging the values back into the original conditions!