Anish and Ajay are business partners. Three years ago, their average age was 18 years. Vikas has recently joined them and now the average age of three partners has become 22 years. Find the age of Vikas.

Solution

ATQ, Let’s solve the problem step by step. Three years ago, the average age of Anish and Ajay was 18 years. This means that the combined age of Anish and Ajay three years ago was 2 × 18 = 36 years. Since three years have passed, both Anish and Ajay would have aged three years. Therefore, in the present, their individual ages would both have increased by three years, and their combined age would increase by 3 years × 2 people = 6 years. Their combined age now is 36 years (3 years ago) + 6 years (added for the present) = 42 years. Now, when Vikas joins Anish and Ajay, the average age of the three partners is 22 years. So the combined age of all three now would be 3 * 22 = 66 years. If we subtract the combined current age of Anish and Ajay from this total, we get Vikas’s age: Vikas’s age = Total combined age - Combined age of Anish and Ajay = 66 years - 42 years = 24 years. So, Vikas’s current age is 24 years