What two numbers have a product of 56 and a sum of 18? Product Sum Calculator Need the answer to a similar problem? Submit another product and sum below to find the two numbers that make your product and sum.What two numbers have a product of 56 and a sum of 19? Go here for the next product and sum problem on our list that we explained and solved. Copyright | Privacy Policy | Disclaimer | Contact Emma K. The sum of two numbers is 56. The smaller number is 18 less than the larger number. What are the numbers? 1 Expert Answer
The first step is to pick variables for the two numbers. Lets call the smaller number x and the larger number y. Since the sum of the two numbers is 56, this means that x + y = 56. Let's call this equation 1 and save it for later. The smaller number is 18 less than the larger number. So, 18 less than the larger number would be y - 18. So, the smaller number must be equal to this, so Replace the x in equation 1 with y - 18 (y-18) + y = 56 (replace x with y-18) 2y - 18 = 56 (add the y's) 2y = 74 (add 18 to both sides) y = 37 (divide both sides by 2) So, the larger number is 37. This makes the smaller number 56 - 37, which is 19. |