Question

The sum of the ages of Anup and his father is 100. When Anup is as old as his father now, he will be five times as old as his son Anuj is now. Anuj will be eight years older than Anup is now, when Anup is as old as his father. What are their ages now?

Answer 1

Let the age of Anup is x years

Let the age of Anup’s father is (100 - x) years

The age of Anuj = \(\frac{100-x}5\) years

According to the question:

When Anup is as old as his father is now:

Then after (100 - x) years Anuj’s age = present age of his father (Anup) + 8

Present age of Anuj + 100 - 2x = Present age of Anup + 8

Therefore age of Anup is 35 years, Age of Anup’s father = 100-35 = 65 years

The age of Anuj is = \(\frac{100-x}5=\frac{100-35}5=\frac{65}5\) = 15 years