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A sum of $₹ 25, 000$ is being divided between two friends such that $\frac{1}{3}$ of the amount first friend gets is same as $\frac{1}{7}$ of the amount second friend gets. What is the share of both friends?

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Important Questions on Linear Equations in One Variable

EASY

Mathematics>Algebra>Linear Equations in One Variable>Applications of Linear Equations

Solve the following equation:

2 (x + 2) = 7 (x + 2)

MEDIUM

Mathematics>Algebra>Linear Equations in One Variable>Applications of Linear Equations

A book is published in three volumes, the pages being numbered from

1

onwards. The page numbers are continued from the first volume to the second volume to the third. The number of pages in the second volume is

50

more than that in the first volume, and the number pages in the third volume is one and a half times that in the second. The sum of the page numbers on the first pages of the three volumes is

1709 .

n

is the last page number, what is the largest prime factor of

n

EASY

Mathematics>Algebra>Linear Equations in One Variable>Applications of Linear Equations

Solve:

(x + 1) (x + 2) = (x - 5) (x - 6)

MEDIUM

Mathematics>Algebra>Linear Equations in One Variable>Applications of Linear Equations

2^{x - 1} + 2^{x + 1} = 2560

, find the value of

x

EASY

Mathematics>Algebra>Linear Equations in One Variable>Applications of Linear Equations

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

EASY

Mathematics>Algebra>Linear Equations in One Variable>Applications of Linear Equations

Ashok purchased pens and pencils in the ratio

2 : 3

during his first visit and paid Rs.

86

to the shopkeeper. During his second visit, he purchased pens and pencils in the ratio

4 : 1

and paid Rs.

112

. The cost of a pen as well as a pencil in rupees is a positive integer. If Ashok purchased four pens during his second visit, then the amount he paid in rupees for the pens during the second visit is

MEDIUM

Mathematics>Algebra>Linear Equations in One Variable>Applications of Linear Equations

x

and

y

are positive integers such that

(x - 4) (x - 10) = 2^{y}

, find the maximum possible value of

(x + y)

EASY

Mathematics>Algebra>Linear Equations in One Variable>Applications of Linear Equations

If $\sqrt{x + 1} - \sqrt{x - 1} = 1$ then value of $x$ is

EASY

Mathematics>Algebra>Linear Equations in One Variable>Applications of Linear Equations

There were

200

employees in an office in which

150

were married. Total male employees were

160

out of which

120

were married. What was the number of female unmarried employees?

EASY

Mathematics>Algebra>Linear Equations in One Variable>Applications of Linear Equations

A man standing on a railway platform notices a train moving at uniform speed took

21

seconds to cross the platform which is

88

meters long and that it took

9

seconds to pass him. Then, the length of the train in meters is

EASY

Mathematics>Algebra>Linear Equations in One Variable>Applications of Linear Equations

For real

y

, the number of solutions of the equation

\sqrt{y + 3} + \sqrt{y} = 1

EASY

Mathematics>Algebra>Linear Equations in One Variable>Applications of Linear Equations

The non-zero solution of the equation

\frac{a - x^{2}}{b x} - \frac{b - x}{c} = \frac{c - x}{b} - \frac{b - x^{2}}{c x}

, where

b \neq 0, c \neq 0

EASY

Mathematics>Algebra>Linear Equations in One Variable>Applications of Linear Equations

As a result of

40 %

hike in the price of rice per kg., a person is able to purchase

10 kg

less rice for

Rs . 1400

. What was the original price of rice per

kg

EASY

Mathematics>Algebra>Linear Equations in One Variable>Applications of Linear Equations

Three friends divided some apples in the ratio

3 : 5 : 7

among themselves. After consuming

16

apples they found that the remaining number of apples with them was equal to largest number of apples received by one of them at the beginning. Total number of apples these friends initially had was

EASY

Mathematics>Algebra>Linear Equations in One Variable>Applications of Linear Equations

In an examination a student scores

4

marks for each correct answer and loses

1

mark for each wrong answer. If he attempts total

60

questions and secures

130

marks. Find the number of questions he attempted correct .

EASY

Mathematics>Algebra>Linear Equations in One Variable>Applications of Linear Equations

Between

3 and 4

O'clock, both hour hand and minute hand will coincide past

3

O'clock between_____.

EASY

Mathematics>Algebra>Linear Equations in One Variable>Applications of Linear Equations

For what value of $p,$ the following pair of linear equations in two variables will have infinitely many solutions?

$p x + 3 y - (p - 3) = 0 12 x + p y - p = 0$

MEDIUM

Mathematics>Algebra>Linear Equations in One Variable>Applications of Linear Equations

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:

EASY

Mathematics>Algebra>Linear Equations in One Variable>Applications of 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>Linear Equations in One Variable>Applications of Linear Equations

If g.c.d.

(24, 20) = 3 x + 1

, then

x =

_____

A sum of ₹25,000 is being divided between two friends such that 13 of the amount first friend gets is same as 17 of the amount second friend gets. What is the share of both friends?

Important Questions on Linear Equations in One Variable

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A sum of $₹ 25, 000$ is being divided between two friends such that $\frac{1}{3}$ of the amount first friend gets is same as $\frac{1}{7}$ of the amount second friend gets. What is the share of both friends?