MEDIUM
8th CBSE
IMPORTANT
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The denominator of a rational number is greater than its numerator by 3 . If numerator and denominator are increased by 1 and 4, respectively, the number obtained is 12 . Find the rational number.

Important Questions on Linear Equations in one Variable

MEDIUM
8th CBSE
IMPORTANT
'I Did It' Mathematics>Chapter 7 - Linear Equations in one Variable>Exercise 7.3>Q 5
The ratio of two numbers is 3:5 . If each number is increased by 10, the ratio between the numbers so formed is 5:7. Find the two original numbers.
HARD
8th CBSE
IMPORTANT
'I Did It' Mathematics>Chapter 7 - Linear Equations in one Variable>Exercise 7.3>Q 6
A 2-digit number is such that ones digit is 1 more than the tens digit. The ratio of this number and the number formed by reversing its digits is 5:6. Find the number.
HARD
8th CBSE
IMPORTANT
'I Did It' Mathematics>Chapter 7 - Linear Equations in one Variable>Exercise 7.3>Q 7
A rational number is such that its denominator is twice its numerator. If both the numerator and the denominator are increased by 13, the rational number becomes 23 in the simplest form. Find the rational number.
HARD
8th CBSE
IMPORTANT
'I Did It' Mathematics>Chapter 7 - Linear Equations in one Variable>Exercise 7.3>Q 8
The length of a rectangle is twice its breadth. If the ratio of the perimeter of the rectangle and its area is 1:2, find the dimensions of the rectangle.
HARD
8th CBSE
IMPORTANT
'I Did It' Mathematics>Chapter 7 - Linear Equations in one Variable>Exercise 7.3>Q 9
A fraction is such that the sum of its numerator and denominator is 15. If 8 is added to the numerator and 12 is added to the denominator, the fraction becomes 34. Find the original fraction.
EASY
8th CBSE
IMPORTANT
'I Did It' Mathematics>Chapter 7 - Linear Equations in one Variable>Worksheet>Q 1
Two different equations can never have the same answer.
EASY
8th CBSE
IMPORTANT
'I Did It' Mathematics>Chapter 7 - Linear Equations in one Variable>Worksheet>Q 1
In the equation 3x-3=9, transposing -3 to RHS, we get 3x=9
EASY
8th CBSE
IMPORTANT
'I Did It' Mathematics>Chapter 7 - Linear Equations in one Variable>Worksheet>Q 1
In the equation 2x=4-x, transposing -x to LHS, we get x=4.