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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3
Answer:
madhav's age= 17yrs
madhav's father age= 46 yrs
madhav's grandfather age= 72 yrs
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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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