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### Question

After 5 years from today the ages of three friends will be in an AP(arithmetic progression), and their sum would be 72. What is the age of the middle friend today?

**A**

19 years.

**B**

20 years.

**C**

18 years.

**D**

21 years.

**Soln.**

**Ans: a**

Let the ages after 5 years be a - d, a and a + d. The sum is given to us. So (a - d) + a + (a + d) = 3a = 72. We get a = 72/3 = 24. So, the age of the middle friend today is a - 5 = 19 years.