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9.2 Use of Simultaneous Linear Equations

A) Number Problems :

Example Find two numbers whose sum is 70 and difference is 10.

Solution : You are looking for two numbers.

Let the two numbers be x and y. (x > y)

Now we set up two equations from the two conditions given in the problem.

Solving (1) and (2) by adding them

x + y = 70

x - y = 10
___________
2x = 80
          \ x = 40

Now, substituting in (1), we get 40 + y = 70 \ y = 30

Therefore, the two numbers are 40 and 30.

Example The difference between two numbers is 8 and 10 times the smaller number and is equal to eight times the greater. Find the smaller number.

Solution : Let the greater number be x and the smaller number be y.

From the given conditions we set two equations as

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Index

9.1 - Definition and Solving Techniques
9.2 - Use of Simultaneous Linear Equations

Chapter 1

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