Q. 14.7( 3 Votes )

Obtain a pair of linear equations in two variables from the following information:

Father tells his son, "Five years ago, I was seven times as old as you were. After five years, I will be three times as old as you will be".

Answer :

Let the present age of father = x


Let the present age of son = y


Now,


Given, Five years ago, father was seven times as old as son.


(x–5) = 7(y–5)


x – 5 = 7y – 35


= x – 7y + 30 = 0 …[1]


Also, after five years, father will be three times as old as son


(x + 5) = 3(y + 5)


x + 5 = 3y + 15


= x – 3y – 10 = 0 …[2]


eq[1] and eq[2] are required equations


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Pair of Linear Equations in Two VariablesPair of Linear Equations in Two VariablesPair of Linear Equations in Two Variables46 mins
Bonus on Applications of Linear Equations in Two VariablesBonus on Applications of Linear Equations in Two VariablesBonus on Applications of Linear Equations in Two Variables43 mins
Dealing With the Real Life ProblemsDealing With the Real Life ProblemsDealing With the Real Life Problems53 mins
HOT Topics of Applications of Linear Equations in Two VariablesHOT Topics of Applications of Linear Equations in Two VariablesHOT Topics of Applications of Linear Equations in Two Variables52 mins
NCERT I Quiz on Solution of Linear Equations in Two VariablesNCERT I Quiz on Solution of Linear Equations in Two VariablesNCERT I Quiz on Solution of Linear Equations in Two Variables49 mins
Learn to Solve Real Life Problems Using Linear Equations in Two VariablesLearn to Solve Real Life Problems Using Linear Equations in Two VariablesLearn to Solve Real Life Problems Using Linear Equations in Two Variables36 mins
Quiz | Solution of Linear EquationsQuiz | Solution of Linear EquationsQuiz | Solution of Linear Equations53 mins
Champ Quiz | Consistency and Inconsistency of SolutionsChamp Quiz | Consistency and Inconsistency of SolutionsChamp Quiz | Consistency and Inconsistency of Solutions36 mins
Quiz | Real Life Problems Through Linear EquationsQuiz | Real Life Problems Through Linear EquationsQuiz | Real Life Problems Through Linear Equations56 mins
Smart Revision | Important Word ProblemsSmart Revision | Important Word ProblemsSmart Revision | Important Word Problems37 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
RELATED QUESTIONS :