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Question

Byju's father is 26 years younger than by chunks grandfather in 29 years older than bathrooms the sum of the ages of all the three is 135 years what is the age of each one of them

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Solution

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:)


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