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The average age of all the $100$ employees in an office is $29$ years, where $\frac{2}{5}$ employees are ladies. The ratio of average age of men to women is $5 : 7$ . The average age of female employees is:

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Important Questions on Pair of Linear Equation in Two Variables

MEDIUM

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Solution of a Linear Equation

Find the value/values of x for the given equation.

$2^{(2 x + 3)} - 17 = 9 (2^{x} - 2)$

EASY

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Solution of a Linear Equation

Find such number, so that one fourth of the number is $8$ more than $5$ :

EASY

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Solution of a Linear Equation

Find the value of

x

after solving the following equation.

0.12 \times (5 x - 4) = 0.5 x + 0.8

EASY

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Solution of a Linear Equation

A number exceeds its

\frac{1}{9}

64

. What is the number?

EASY

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Solution of a Linear Equation

The cost price of

3

exam pads and

2

pencils is

₹ 96 . 4

exam pads and

3

pencils cost

₹ 134

. Find total cost (in

₹

) of an exam pad and that of a pencil.

HARD

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Solution of a Linear Equation

3

chairs and

2

tables cost

R s . 700

and

5

chairs and

3

tables cost

R s . 1100

. What is the cost of

1

chair and

2

tables?

MEDIUM

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Solution of a Linear Equation

How many solutions will a pair of linear equations have, if the equations are

4 x + 5 y - 6 = 0

and

16 x + 20 y + 20 = 0

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Mathematics>Algebra>Pair of Linear Equation in Two Variables>Solution of a Linear Equation

The point of the intersection of the graph of the equations

3 x - 5 y = 19

and

3 y - 7 x + 1 = 0

P (α, β)

. What is the value of

(3 α - β)

MEDIUM

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Solution of a Linear Equation

A zoo has few number of penguins and polar bears. The total number of heads of both of them is

60

and total number of their feet is

160

. How many polar bears are there in the zoo.

EASY

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Solution of a Linear Equation

The population of Patna city is $96000$ , the decreasing rate of population is $800$ per year. Population of Patliputra is $68000$ , the increasing rate of population is $1200$ per year. In how many years will the population of both places be equal?

EASY

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Solution of a Linear Equation

4

5^{t h s}

of an estate is worth Rs. 16800, then the value of

3

7^{t h s}

of the estate is

MEDIUM

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Solution of a Linear Equation

P and Q are two examination halls. If

10

examinees are sent from P into Q, the number of examinees becomes equal in both the halls. If

20

examinees are transferred from Q into P, the number of examinees becomes double in P in comparison with Q. What is the number of examinees in each P and Q separately ?

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Mathematics>Algebra>Pair of Linear Equation in Two Variables>Solution of a Linear Equation

x, y, z

are three integers such that

x + y = 8

y + z = 13

and

z + x = 17

, then the value of

\frac{x^{2}}{y z}

is:

HARD

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Solution of a Linear Equation

The sum of the digits of a two-digit number is

10

. When the digits are reversed, the number decreases by

54

. Find the changed number:

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Mathematics>Algebra>Pair of Linear Equation in Two Variables>Solution of a Linear Equation

The graph of the equation

5 x - 2 y + 1 = 0

and

4 y - 3 x + 5 = 0,

intersect at the point

P (α, β)

. What is the value of

(2 α - 3 β)

EASY

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Solution of a Linear Equation

While tabulation of marks scored in an examination by the students of a class, by mistake the marks scored by one student got recorded as

93

in place of

63

, and thereby the average marks increased by

0.5

. What was the number of students in the class?

EASY

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Solution of a Linear Equation

The graph of the equations

2 x + 3 y = 11

and

x - 2 y + 12 = 0

intersects at

P (x_{1}, y_{1})

and the graph of the equation

x - 2 y + 12 = 0

intersects the

x -

axis at

Q (x_{2}, y_{2})

. What is the value of

(x_{1} - x_{2} + y_{1} + y_{2})

MEDIUM

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Solution of a Linear Equation

Find the number of solutions of a pair of linear equation

4 x - 9 y + 13 = 0

and

2 x + 3 y - 13 = 0

MEDIUM

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Solution of a Linear Equation

x

and

y

are positive integers and

\frac{3 x}{y} = 4,

then find the minimum value of

(3 x + 4 y)

MEDIUM

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Solution of a Linear Equation

A number of two digits is equal to '

k

' times to the sum of these digits. If the places of these digits are mutually exchanged. the newly formed number is equal to the sum of these digits multiplied by which one of the following options ?

The average age of all the 100 employees in an office is 29 years, where25 employees are ladies. The ratio of average age of men to women is 5:7. The average age of female employees is:

Important Questions on Pair of Linear Equation in Two Variables

Learn and Prepare for any exam you want !

The average age of all the $100$ employees in an office is $29$ years, where $\frac{2}{5}$ employees are ladies. The ratio of average age of men to women is $5 : 7$ . The average age of female employees is: