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The difference between ages of two men is $8 yr$ . $16 yr$ ago, their ages were in the ratio $3 : 2$ . The present age of elder is

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Important Questions on Algebraic Expressions

HARD

Mathematics>Algebra>Algebraic Expressions>Linear Equations

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?

EASY

Mathematics>Algebra>Algebraic Expressions>Linear Equations

Find the value of

x

after solving the following equation.

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

HARD

Mathematics>Algebra>Algebraic Expressions>Linear Equations

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:

EASY

Mathematics>Algebra>Algebraic Expressions>Linear Equations

X and Y

together have

₹ 1300

. If

₹ 10

less than three-fifth of the amount

X

is equal to half of the amount

Y

, then how much does

X

have?

MEDIUM

Mathematics>Algebra>Algebraic Expressions>Linear Equations

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>Algebraic Expressions>Linear Equations

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>Algebraic Expressions>Linear Equations

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

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

EASY

Mathematics>Algebra>Algebraic Expressions>Linear Equations

A man's present age is

8

times more than his son. After

10 yr

, he will be thrice the age of his son. How old is son at present?

EASY

Mathematics>Algebra>Algebraic Expressions>Linear Equations

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?

MEDIUM

Mathematics>Algebra>Algebraic Expressions>Linear Equations

Find the number of solutions of a pair of linear equation

4 x - 9 y + 13 = 0

and

2 x + 3 y - 13 = 0

EASY

Mathematics>Algebra>Algebraic Expressions>Linear Equations

X and Y start at the same time to ride from place A to place B, which is

80 km

away from A. X travel

4 km

per hour slower than Y. Y reaches place B and at the at once turn back meeting X

16 km

from place B. Y's speed (in

km / h

) is ______.

MEDIUM

Mathematics>Algebra>Algebraic Expressions>Linear Equations

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 ?

EASY

Mathematics>Algebra>Algebraic Expressions>Linear Equations

The present ages of

A and B

are in the ratio

9 : 10

. The ratio of their ages

8 years

from now will be

11 : 12

. What will be the sum of their ages after

3 years

from now?

EASY

Mathematics>Algebra>Algebraic Expressions>Linear Equations

A number exceeds its

\frac{1}{9}

64

. What is the number?

EASY

Mathematics>Algebra>Algebraic Expressions>Linear Equations

If $a + b - c = 0$ , then what is the value of $\frac{(b - c)^{2}}{4 b c} \frac{(c - a)^{2}}{4 c a} \frac{(a + b)^{2}}{4 a b} = ?$

EASY

Mathematics>Algebra>Algebraic Expressions>Linear Equations

The graph of the equation

3 x + y - 5 = 0 and 2 x - y - 5 = 0

intersect at the point

P (α, β)

. What is the value of

(3 α + β)

EASY

Mathematics>Algebra>Algebraic Expressions>Linear Equations

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>Algebraic Expressions>Linear Equations

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

MEDIUM

Mathematics>Algebra>Algebraic Expressions>Linear Equations

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>Algebraic Expressions>Linear Equations

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 difference between ages of two men is 8yr. 16yr ago, their ages were in the ratio 3:2. The present age of elder is

Important Questions on Algebraic Expressions

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The difference between ages of two men is $8 yr$ . $16 yr$ ago, their ages were in the ratio $3 : 2$ . The present age of elder is