Answered

Experience the convenience of getting your questions answered at IDNLearn.com. Discover detailed and accurate answers to your questions from our knowledgeable and dedicated community members.

The sum of three numbers is 24. Twice the smallest number is 2 less than the largest number. The largest number is equal to the sum of the smallest and middle number. What are the three numbers?.

Sagot :

Linandrew41idn

Known information:

  • the sum of three numbers: 24
  • the smallest number is 2 less than the largest number
  • the largest number is equal to the sum of the smallest and middle number.

Let us set up some variables for our terms:

  • smallest number --> S
  • middle number --> M
  • largest number -- L

Let us set up some equations in terms of our known information

  • S + M + L = 24
  • S = L - 2
  • L = S + M

Let us set up everything in terms of L, because in the first equation, we will be able to get rid of all the other variables but L allowing us to solve the equation:

              (S + M) + L = 24 --->   L + L = 24

              2L = 24

              L = 12

Since L = 12, we know that S = L - 2:

              S = L - 2 = 12 - 2 = 10

Since now we know that L = 12, and S = 10, and L = S + M:

              L = S + M

              12 = 10 + M

               M = 2

So our answer is 2, 10, 12

Hope that helps!

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Thank you for visiting IDNLearn.com. We’re here to provide dependable answers, so visit us again soon.