Number Magic a textbook of Mathematics 8>Chapter 2 - Linear Equations in One Variable>EXERCISE>Q 8

HARD

8th CBSE

IMPORTANT

Earn 100

Find the three consecutive odd numbers whose sum is $165$ .

Important Questions on Linear Equations in One Variable

HARD

8th CBSE

IMPORTANT

Number Magic a textbook of Mathematics 8>Chapter 2 - Linear Equations in One Variable>EXERCISE>Q 9

The sum of three consecutive multiples of

7

is

777

. Find these multiples.

HARD

8th CBSE

IMPORTANT

Number Magic a textbook of Mathematics 8>Chapter 2 - Linear Equations in One Variable>EXERCISE>Q 10

The numerator of a rational number is

3

less than the denominator. If the numerator and denominator are increased by

2

, the new fraction becomes

\frac{6}{7}

. Find the original number.

MEDIUM

8th CBSE

IMPORTANT

Number Magic a textbook of Mathematics 8>Chapter 2 - Linear Equations in One Variable>EXERCISE>Q 11

The denominator of a rational number is greater than its numerator by

3

. If the numerator is increased by

14

and the denominator is decreased by

3

, the new number becomes

\frac{11}{4}

. What is the original number?

HARD

8th CBSE

IMPORTANT

Number Magic a textbook of Mathematics 8>Chapter 2 - Linear Equations in One Variable>EXERCISE>Q 12

A number has two digits. The digit at tens place is four times the digit at the units place. If

54

is subtracted from the number, the digits are reversed. Find the number.

HARD

8th CBSE

IMPORTANT

Number Magic a textbook of Mathematics 8>Chapter 2 - Linear Equations in One Variable>EXERCISE>Q 13

Sum of the digit of a two digit number is

9

. The number obtained by interchanging the digits exceeds the digit the given number by

27

. Find the original number.

HARD

8th CBSE

IMPORTANT

Number Magic a textbook of Mathematics 8>Chapter 2 - Linear Equations in One Variable>EXERCISE>Q 14

The length of a rectangle exceeds the breadth by

6 cm

. If the length is increased by

3 cm

and the breadth decreased by

2 cm

, the area remains the same. Find the length and breadth of the rectangle.

HARD

8th CBSE

IMPORTANT

Number Magic a textbook of Mathematics 8>Chapter 2 - Linear Equations in One Variable>EXERCISE>Q 15

The angles of a triangle are

3 x °, (2 x + 20) °

and

(5 x - 40) °

. Find the angles. Hence show that the triangle is an equilateral triangle.

HARD

8th CBSE

IMPORTANT

Number Magic a textbook of Mathematics 8>Chapter 2 - Linear Equations in One Variable>EXERCISE>Q 16

One angle of a triangle is equal to the sum of the other two. If the ratio of the other two angles is

7 : 8

, find the angles of the triangle.