Linear equation in 2 variables

Q. Vihan spent ₹ 132 to buy movie tickets for 20 children and 4 adults. Each adult ticket costs ₹ 3 more than the child ticket. If A is the price of an adult ticket and S is the price of a child ticket, which system of equations could be used to find the price of each adult and child ticket?

1. $\left\{\begin{array}{c}S=A+3\\ 20A+4S=132\end{array}\right\}$
2. $\left\{\begin{array}{c}S=A+3\\ 4A+20S=132\end{array}\right\}$
3. $\left\{\begin{array}{c}A=S+3\\ 20A+4S=132\end{array}\right\}$
4. $\left\{\begin{array}{c}A=S+3\\ 4A+20S=132\end{array}\right\}$

Q.

Write the algebraic expressions for

A number $X$ multiplied by eight and added three times of $Y$.

Q. On expressing the equation $7x+8y=28$ in the general form of a linear equation in two variables $ax+by+c=0,$ the value of $c$ equals .

1. 8
2. -28
3. 28

Q. Match the two columns
$\begin{array}{cc}\text{Equations}& \text{Solutions}\\ \left(A\right)2x+y=7& \left(p\right)(0,9)\\ \left(B\right)x-2y=4& \left(q\right)(1,5)\\ \left(C\right)x-4y=0& \left(r\right)(0,0)\\ \left(D\right)px+y=9& \left(s\right)(4,0)\end{array}$

1. $\left(A\right)\to s;\left(B\right)\to p;\left(C\right)\to q;\left(D\right)\to r$
2. $\left(A\right)\to q;\left(B\right)\to r;\left(C\right)\to p;\left(D\right)\to s$
3. $\left(A\right)\to q;\left(B\right)\to s;\left(C\right)\to r,\left(D\right)\to p$
4. $\left(A\right)\to p;\left(B\right)\to q;\left(C\right)\to s;\left(D\right)\to r$

Q. Frame an equation on the following: a two - digit number is 7 times the sum of its digits. (Assume two digit number as xy)

1. x - y = 0
2. x + y = 0
3. x + 2y = 0
4. x - 2y = 0

Q. Sonu's age is twice Anu's age . Represent the statement algebraically .

1. x - y = 2
2. x - 2y = 0
3. x + 2y = 0
4. x + y = 2

Q.

Suppose that $3<a<4$ and $4<b<5$. Find all possible values of:
$a-b$

Q.

There are two numbers. If 2490 is subtracted from one number then we get the other number. The algebraic expression depicting this information is:

1. $x+b+2490=0$

2. $a-b=2490$

3. $a+b=2490$

4. $a–y+2490=0$