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Sunday, October 5, 2014

Word Problem - Number Problem, 4

Category: Algebra

"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