Question

vivek is older than kishor by 5 years. The sum of the reciprocals of their ages is
1/6. find there present ages.​

Answer 1

Let the present age of Kishor be x years. Vivek is older than Kishor by 5 years. So, Vivek's age will be x + 5.

The sum of the reciprocals of their ages is

$\frac{1}{6}$

Rest of the explanation is in the attachment :)

But age cannot be negative so, age of Kishore is 10 years and that of Vivek is 10+5= 15 years.