We will give solution for the following problem:

"Half a number is three times bigger than another number. Calculate the value of the two numbers if the difference between them is 12."

Let 'x' and 'y' represent the two numbers.

Half a number is three times bigger than another number can be written as:

(1/2)x = 3y

The difference between the numbers is 12:

x - y = 12

We have the following system of equations:

(1/2)x = 3y

x - y = 12

........

click here to see the system of equations solved for x and y

........

x = 14.4

y = 2.4

The two numbers are 14.4 and 2.4.