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To solve an equation we need to follow two permissible rules. They are:

· Addition – Subtraction Rule

· Multiplication – Division Rule

We use linear equation, an integral part of arithmetic, during our day today life. In real, we express the situation in terms of words. These words can be translated in terms of mathematics.

This can be easily understood by taking the separate sentences

12 exceeds a number x by 3

From the statement 12 exceeds a number x means

12 is the greatest number and x is smallest one and their difference is 3

Hence, the equation is 12 – x = 3

Since the ratio of the two numbers is 7: 4, we may take one number to be

7

The difference between two numbers is 7

So, we get 7

3

3x/3 = 21/3

x = 7

Since the two numbers are 7

One number = 7

Other number = 4