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. What is the age of each one of them?
Answers
Answer:
Let the age of Baichung age be x years
therefore age of his father will be x+29 years
and his grandfather's age will be x+29+26 years
Step-by-step explanation:
now acc. to ques.
x+x+29+x+29+26=135
3x+84=135
3x=135-84
3x=51
x=17 years
Therefore the age of Baichung will be 17 years.
Age of his father will be x+29=17+29=46 years.
and age of his grandfather will be x+29+26= 72 years
Given :-
• 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.
To Find :-
• What is the age of each one of them?
Solution :-
Let the age of Baichung's father be x years.
According to the question :-
Given that,
Baichung's father is 26 years younger than Baichung's grandfather and 29 years older than Baichung.
Therefore,
Age of Baichung's grandfather will be
= ( x + 26) years
Age of Baichung will be = (x -29) years
Again,
According to the question :-
Given that,
The sum of the ages of all the three is 135.
x -29 + x +26 + x = 135
⟼ 3x - 3 = 135
⟼ 3x = 138
Hence,
Age of Baichung's father is = 46 years
Substituting the value of x, we get
Age of Baichung's grandfather is = x +26 = 72 years.
Age of Baichung is = x - 29 = 17 years.