O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Exercise 3: Chapter Test

Solve: 

$y+2x=5$

$3y-5x=4$

Solve: 

$\frac{1}{2}x+2y=16$

$2x+\frac{1}{2}y=19$

What is the solution of the equation $x-y=0.9$ and $11{\left(x+y\right)}^{-1}=2$?

A number consists of two digits, whose sum is $10$. If $18$ is subtracted from the number, digits of the number are reversed. What is the product of the digits?

If $\frac{2x-3y+1}{2}=\frac{x+4y+8}{3}=\frac{4x-7y+2}{5}$, then what is $\left(x+y\right)$ equal to?

A railway ticket fo a child cost half the full fare but the reservation charge is the same on half tickets as much as on the full tickets. One reserved first class full ticket for a journey between two stations is $₹362$; one full and one half first class ticket cost $₹554$. What is the reservation charge?

What is the sum of two numbers whose difference is $45$and the quotient of the greater number by the lesser number is $4 ?$

Two numbers are in the ratio $2: 3$. If $9$ is added to each number, they will be in the ratio $3: 4$. What is the product of the two numbers?