"Published in Vacaville, California, USA"
The sum of two numbers is twice their difference. The larger number is 6 more than twice the smaller. Find the numbers.
Solution:
From the description of a given word problem, it is an application of linear equation with one variable.
Let x = be the value of a smaller number
2x + 6 = be the value of a larger number
From the statement "The sum of two numbers is twice their difference.", then the working equation is
From the working equation, we can solve for the value of x which is the value of a smaller number as follows
The value of a larger number is
Therefore, the numbers are 6 and 18.