# Worksheet on Problems on Simultaneous Linear Equations

The questions in the worksheet on problems on simultaneous linear equations can be solved in the method of elimination and method of substitution can be used to find the solution of system of two variables linear equations.

1. The sum of two numbers is 50 and their difference is 22. Find the numbers.

2. One number is three times the other number. The difference between the two numbers is 12. Find the two numbers.

3. The sum of two numbers is 9. The difference in their squares is also 9. Find the number.

4. The difference between the two numbers is 7. Two times the smaller number added to the larger number gives 22. Find the two numbers.

5. 3 tables and 2 chairs cost Rs. 1900 and 2 tables and 4 chairs cost Rs. 1800. Find the cost of table and a chair.

6. A lady has only Rs. 1 and Rs.2 coin in her purse. If in all she has 50 coins totaling Rs. 70, Find the number of coins of each type.

7. I am three times old as my son. After five years, I will be 2 ½ times as old as my son. Find my present age and the present age of my son.

8. Ten years ago, mother was 12 times as old as her daughter and ten years, hence she will be twice as old as her daughter will be. Find the present ages.

9. In the triangle, sum of two angles is 90° which is the measure of the third angle. Also, the difference of these 2 angle is 10°, find the measure of these two unknown angles.

10. A fraction becomes 10/7 if 2 is added to both numerator and denominator. If however 3 is subtracted from both numerator and denominator, the fraction becomes 5/2. What is the fraction?

Answers for the worksheet on problems on simultaneous linear equations. are given below to check the exact answers of the above questions.

1.36, 14

2. 18, 6

3. 5, 4

4. 12, 5

5. Rs. 500, Rs. 200

6. 30, 20

7. 15 years, 45 years

8. 34 years, 12 years

9. 50°, 40°

10. 8/5

Simultaneous Linear Equations

Simultaneous Linear Equations

Comparison Method

Elimination Method

Substitution Method

Cross-Multiplication Method

Solvability of Linear Simultaneous Equations

Pairs of Equations

Word Problems on Simultaneous Linear Equations

Word Problems on Simultaneous Linear Equations

Practice Test on Word Problems Involving Simultaneous Linear Equations

Simultaneous Linear Equations - Worksheets

Worksheet on Simultaneous Linear Equations

Worksheet on Problems on Simultaneous Linear Equations

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

## Recent Articles

1. ### Comparison of Numbers | Compare Numbers Rules | Examples of Comparison

May 18, 24 02:59 PM

Rule I: We know that a number with more digits is always greater than the number with less number of digits. Rule II: When the two numbers have the same number of digits, we start comparing the digits…

2. ### Numbers | Notation | Numeration | Numeral | Estimation | Examples

May 12, 24 06:28 PM

Numbers are used for calculating and counting. These counting numbers 1, 2, 3, 4, 5, .......... are called natural numbers. In order to describe the number of elements in a collection with no objects

3. ### Face Value and Place Value|Difference Between Place Value & Face Value

May 12, 24 06:23 PM

What is the difference between face value and place value of digits? Before we proceed to face value and place value let us recall the expanded form of a number. The face value of a digit is the digit…

4. ### Patterns in Numbers | Patterns in Maths |Math Patterns|Series Patterns

May 12, 24 06:09 PM

We see so many patterns around us in our daily life. We know that a pattern is an arrangement of objects, colors, or numbers placed in a certain order. Some patterns neither grow nor reduce but only r…