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?

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Age of Baichung is 27 years, his father age is 54 years and his grandfather age is 86 years.

Age of Baichung is 17 years, his father age is 46 years and his grandfather age is 72 years.

Age of Baichung is 10 years, his father age is 52 years and his grandfather age is 82 years.

Age of Baichung is 15 years, his father age is 46 years and his grandfather age is 66 years.

answer is B.

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Detailed Solution

It is given that Baichung’s father is 26 years younger than Baichung’s grandfather and 29 years older than Baichung.
Let the age of Baichung’s father be x years.
Baichung is 29 years younger than his father.
So, his age becomes x−29.
Baichung’s grandfather is 26 years older than Baichung’s father.
So, Baichung’s grandfather age become x+26.
Sum of all the three ages is 135 years will be,
x+x-29+x+26=135
Simplifying,
3x-3=135
Transpose -3 to right hand side,
3x=135+3
3x=138
Divide 3 both the sides.

x = 1383

x=46
Substitute the value of x in all three ages.
Baichung’s father is age x=46 years.
Baichung’s age is x-29 years.
=46-29 years.
=17 years.
Baichung’s grandfather’s age is x+26 years.
=46+26 years.
=72 years.
Hence, the age of Baichung, his father and his grandfather is 17 years, 46 years, 72 years respectively.
Correct option is 2.

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