Q.11 Baichung’s father is 26 years younger than Baichung’s grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of each one of them?
Let the age of Baichung be x years.
Then according to question age of Baichung's father = x + 29 years
and age of Baichung's grandfather = x + 29 + 26 years
The sum of their ages is given 135 years. According to that, x + x + 29 + x + 29 + 26 = 135
3x + 84 = 135
Transposing 81 on the RHS we get,
3x = 135 - 84 = 51
Dividing both sides by 3
Thus, the age of Baichung = 17 years
The age of Baichung's father = 17 + 29 = 46 years
The age of Baichung's grandfather = 46 + 26 = 72 years