Question

Madhav’s father is 26 years younger than Madhav’s grandfather and 29 years older than Madhav. The sum of the ages of all the three is 135 years. What are the ages of each one of them?
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Answer 1

Answer:

Let the age of Madhav's father be x

Then, Madhav's age will be x-29

Then Madhav's grandfathers age will be x+26

So

ATQ

x+x+x-26+29=135

3x+3=135

3x=135-3

3x=132

x=132/3

x=34

Answer 2

Given:

• Madhav’s father is 26 years younger than Madhav’s grandfather and 29 years older than Madhav.
• The sum of the ages of all the three is 135 years

To Find:

• Their Present ages.

Solution:

Let madhav's father age be x

Madhav's age = (x + 29)

Madhav's grandfather age = (x + 29 + 26)

According to the Question,

Sum of their ages = 135 years

⇒ x + (x + 29) + (x + 55) = 135

⇒ 3x + 84 = 135

⇒ 3x = 135 - 84

⇒ 3x = 51

⇒ x = 51/3

⇒ x = 17 years

Hence,

• Madhav's father age = 17 years
• Madhav's age = 17 + 29 = 46 years
• His grandfather's age = 55 years

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