Let the age of Byju’s father = m year
Since, Byju’s father is 26 year younger than chuks’s grand father
Therefore, Age of chunks’s grandfather = Age of Byju’s father + 26 = m + 26 year
Since, Byju’s father is 29 year older than Byju
Therefore, Age of Byju = Age of Byju’s father – 29 = m – 29 year
Now, we have
Age of Byju = m – 29 year
Age of Byju’s father = m year
Age of chunks’s grandfather = m + 26 year
According to question, the sum of ages of all the three = 135 year
Therefore,
Age of Byju + Age of Byju’s father + Age of chunks’s grandfather = 135
⇒ (m – 29) + m + (m + 26) = 135 year
⇒ m – 29 + m + m + 26 = 135 year
⇒ m + m + m – 29 + 26 = 135 year
⇒ 3m – 3 = 135 year
After transposing – 3 to the RHS, we get
3m = 135 year + 3
⇒ 3m = 138 year
After dividing both sides by 3, we get
This means age of Byju’s father = 46 year
Now, by substituting the value of m, we can calculate the age of Byju and the age of chunks’s grandfather.
Therefore,
Age of Byju = m – 29 = 46 – 29 = 17 year
Age of chunks’s grandfather = m + 26 = 46 + 26 = 72 year
Thus,
Age of Byju = 17 year
Age of Byju’s father = 46 year
Age of chunks’s grandfather = 72 year
Hope this helps you:)