Baichung's father is 26 years younger than Baichung's grandfather and 29 years older than Baichung. The sum of the ages of all three is 135 years. What is the age of each of them?

Let Baichung's father's age be x years.
∴ Baichung's age and his grandfather's age are (x-29) and (x+26) years respectively.
As per the question, Sum of ages of 3 people = 135 years
∴ x + x - 29 + x + 26 = 135
3x - 3 = 135
3x = 138
Divide both sides by 3, we will get
x = 138/3
∴ x = 46
Baichung's father's age = x = 46 years
Baichung's age = x - 29 = 46 - 29 = 17 years
Baichung's grandfather's age = x + 26 = 46 + 26 = 72 years