After three years, a man’s age will be five times his son’s age. If the man's current age is represented by 'x' and his son's age by 'y', which among the following options is a linear equation in two variables representing this statement?

x - 5 y = 12

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

x + 5 y = 12

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5 x - y = 12

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5 x - y = 12

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $x - 5 y = 12$
After three years,
Man's age = $(x + 3)$ years
Son's age = $(y + 3)$ years

According to the question, we have
$x + 3 = 5 (y + 3)$
$\Rightarrow x + 3 = 5 y + 15$
$\Rightarrow x - 5 y = 12$
$∴ x - 5 y = 12$ is the linear equation in two variables.

Suggest Corrections

Similar questions

Q. After

5

years, the age of the father will be two times the age of his son. Write a linear equation in two variables to represents this statement also draw the graph.

Q. After three years, a man’s age will be five times his son’s age. If the man's current age is represented by 'x' and his son's current age by 'y', which of the following represents the given statement?

Five year hence, a man's age will be three times the age of his son. Five years ago, the man was seven times as old as his son. Find their present ages.

Q. Write the linear equations in two variables for the given information :
Five years from present, the age of Sachin will be three times that of his son. Five years ago, Sachin’s age was seven times that of his son.

Q. The age of a man is three times the sum of the ages of his two sons. Five years hence, his age will be double of the sum of the ages of his sons. The father's present age is?

Join BYJU'S Learning Program

After three years, a man’s age will be five times his son’s age. If the man's current age is represented by 'x' and his son's age by 'y', which among the following options is a linear equation in two variables representing this statement?

The correct option is A x−5y=12After three years, Man's age = (x+3) years Son's age = (y+3) years According to the question, we have x+3=5(y+3) ⇒ x+3=5y+15 ⇒x−5y=12 ∴x−5y=12 is the linear equation in two variables.

The correct option is A $x - 5 y = 12$
After three years,
Man's age = $(x + 3)$ years
Son's age = $(y + 3)$ years

According to the question, we have
$x + 3 = 5 (y + 3)$
$\Rightarrow x + 3 = 5 y + 15$
$\Rightarrow x - 5 y = 12$
$∴ x - 5 y = 12$ is the linear equation in two variables.