Raj got $\frac{3}{4}$ times the marks as obtained by Nil in the annual examination of Mathematics. The sum of their marks is $140$. Represent this as a pair of linear equations in two variables.

  • A
    Let $x$ be the marks of Raj and $y$ be the marks of Nil.
  • B
    The equations are $x = \frac{3}{4}y$ and $x + y = 140$.
  • C
    The equations are $3x - 4y = 0$ and $x + y = 140$.
  • D
    The equations are $4x - 3y = 0$ and $x + y = 140$.

Explore More

Similar Questions

For the pair of equations $\lambda x + 3y = -7$ and $2x + 6y = 14$ to have infinitely many solutions,the value of $\lambda$ should be $1$. Is the statement true? Give reasons.

Difficult
View Solution

Find the solution of the pair of equations $\frac{x}{10} + \frac{y}{5} - 1 = 0$ and $\frac{x}{8} + \frac{y}{6} = 15$. Hence,find $\lambda$ if $y = \lambda x + 5$.

Difficult
View Solution

Two lines (coincident) are shown in the following graph. Which option from the following is true for the solution of the pair of linear equations in two variables?

Solve the following pair of linear equations:
$21x + 47y = 110$
$47x + 21y = 162$

The sum of two positive numbers is $25$. Five times the smaller number is $5$ more than three times the larger number. Represent this as a pair of linear equations in two variables.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo