Question

The lesser of two numbers is one half of the greatest number and their sum is 27 find the numbers

Answer 1

To find the two numbers, set up a system of equations with the conditions provided: the lesser number is half of the greater, and their sum is 27. Solving the system reveals the numbers are 9 and 18.

Step-by-step explanation:

The question involves solving a system of linear equations to find two numbers where the lesser is one half of the greater number and their sum is 27. Let's designate the lesser number as x and the greater number as y. From the problem statement, we have two equations:

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• 
  

We can substitute the first equation into the second to find the value of y:

1. 
   
3. 
   
5. 
   
7. 
   

Now that we have the value of y, we can find x by using the first equation:

1. 
   
3. 
   

Therefore, the two numbers are 9 and 18.