Q. 33

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?

Answer :

Let Baichung’s age be x years.

Baichung’s father present age be y years.


Baichung’s grandfather present age be z years.
Given Baichung
s father is 29 years older than Baichung.


y = x + 29 …(1)


Baichung’s grandfather is 26 years older than Baichungs father.


z = y + 26


Put value of y from (1)


z = x + 29 + 26


z = x + 55


Given the sum of three ages = 135 years


x + y + z = 135
x + x + 29 + x + 55 = 135
3x + 84 = 135
3x = 135 – 84
3x = 51



x = 17
Baichung
s age = 17 years
Baichung
s grandfather age = (x + 55) = (17 + 55) = 72 years
Baichung's father age = (x + 29) = (17 + 29) = 46 years


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Goprep Genius Quiz on Linear EquationsGoprep Genius Quiz on Linear EquationsGoprep Genius Quiz on Linear Equations34 mins
NCERT | Linear EquationsNCERT | Linear EquationsNCERT | Linear Equations41 mins
Interactive session on Linear Equations in Two VariablesInteractive session on Linear Equations in Two VariablesInteractive session on Linear Equations in Two Variables30 mins
NCERT |  Imp. Qs. on Linear Equations in Two VariablesNCERT |  Imp. Qs. on Linear Equations in Two VariablesNCERT | Imp. Qs. on Linear Equations in Two VariablesFREE Class
Quiz | Testing Your Skills on Linear Equation in Two VariablesQuiz | Testing Your Skills on Linear Equation in Two VariablesQuiz | Testing Your Skills on Linear Equation in Two Variables36 mins
Quiz | Important Questions on Linear Equations In Two VariablesQuiz | Important Questions on Linear Equations In Two VariablesQuiz | Important Questions on Linear Equations In Two Variables49 mins
Champ Quiz | Do you Know about Linear Equations ?Champ Quiz | Do you Know about Linear Equations ?Champ Quiz | Do you Know about Linear Equations ?35 mins
Master Linear EquationsMaster Linear EquationsMaster Linear Equations40 mins
Problems on Linear EquationsProblems on Linear EquationsProblems on Linear Equations41 mins
Quiz | Imp. Qs. on Linear EquationsQuiz | Imp. Qs. on Linear EquationsQuiz | Imp. Qs. on Linear Equations44 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses