Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 3 - Pair of Linear Equations in Two Variables>Exercise>Q 64

HARD

10th Rajasthan Board

IMPORTANT

Earn 100

Aruna has only $₹ 1$ and $₹ 2$ coins with her. If the total number of coins that she has is $50$ and the amount of money with her is $₹ 75$ , then the number of $₹ 1$ and $₹ 2$ coins are respectively

39.13% studentsanswered this correctly

Important Questions on Pair of Linear Equations in Two Variables

MEDIUM

10th Rajasthan Board

IMPORTANT

Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 3 - Pair of Linear Equations in Two Variables>Exercise>Q 65

If

\frac{2}{x} + \frac{3}{y} = 6

and

\frac{1}{x} + \frac{1}{2 y} = 2

then

MEDIUM

10th Rajasthan Board

IMPORTANT

Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 3 - Pair of Linear Equations in Two Variables>Exercise>Q 66

Solve

x + y = 3 x y, x - y = x y

.

MEDIUM

10th Rajasthan Board

IMPORTANT

Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 3 - Pair of Linear Equations in Two Variables>Exercise>Q 67

If the sum of a number and its reciprocal is

2

, then the number is_____

MEDIUM

10th Rajasthan Board

IMPORTANT

Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 3 - Pair of Linear Equations in Two Variables>Exercise>Q 68

If a pair of linear equations in two variables is consistent, then the lines represented by two equations are:

EASY

10th Rajasthan Board

IMPORTANT

Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 3 - Pair of Linear Equations in Two Variables>Exercise>Q 69

If

x = a, y = b

is the solution of the systems of equations

x - y = 2 and x + y = 4

, then the values of

a

and

b

are respectively

HARD

10th Rajasthan Board

IMPORTANT

Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 3 - Pair of Linear Equations in Two Variables>Exercise>Q 70

The ratio of a

2

-digit number to the sum of digits of that number is

4 : 1

. If the digit in the unit place is

3

more than the digit in the tens place, what is the number?

HARD

10th Rajasthan Board

IMPORTANT

Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 3 - Pair of Linear Equations in Two Variables>Exercise>Q 71

At the end of the year

2002

, Ram was left with half as old as his grandpa. The sum of the years in which they were born is

3854

. Age of Ram at the end of the year

2003

is _____

EASY

10th Rajasthan Board

IMPORTANT

Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 3 - Pair of Linear Equations in Two Variables>Exercise>Q 72

If the system of equations has infinitely many solutions, then

2 x + 3 y = 7

2 a x + (a + b) y = 28