Q. 27

# 2 years ago Salim was thrice as old as his daughter and 6 years later he will be 4 years older than twice her age. How old are they now?

Let Salim's present age be x and her daughter's present age be y.

2 years ago

Salim's age = x – 2

Salim's daughter age = y – 2

Salim was thrice as old as his daughter

Salim's age = 3 (y – 2)

x – 2 = 3y – 6

x – 3y = – 4 ……(1)

6 years later

Salim's age = x + 6

Salim's daughter age = y + 6

Salim will be 4 years older than twice her daughter's age

Salim's age = 4 + 2 (y + 6)

x + 6 = 4 + 2y + 12

x – 2y = 10 ……(2)

Eliminate (1) and (2), by subtracting equation (1) from equation (2)

x – 2 y – (x – 3 y) = 10 – (- 4)

- 2 y + 3 y = 10 + 4

y = 14

Put y = 14 in (2)

x – 2 (14) = 6

x = 28 + 6

x = 34

Therefore, Salim's age is 38 years and her daughter's age is 14 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 Equations34 mins  Interactive session on Linear Equations in Two Variables30 mins  NCERT | Linear Equations41 mins  Quiz | Testing Your Skills on Linear Equation in Two Variables36 mins  Quiz | Important Questions on Linear Equations In Two Variables49 mins  Champ Quiz | Do you Know about Linear Equations ?35 mins  Master Linear Equations40 mins  Quiz | Imp. Qs. on Linear Equations44 mins  Quiz | Solve Problems on Linear Equations37 mins  Champ Quiz | Linear Equation45 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 view all courses 