Question

The larger of two numbers is five more than twice the smaller number. The sum of the two numbers is 38. Find the numbers.

Answer 1

Answer:

I would set this up as:

let: lesser number = x

     greater number = 2x + 5

Restating the word problem:

lesser number + greater number = 38

        x           +  2x + 5             = 38

Solving:  3x + 5 = 38

                  - 5     -5

             ---------------

              3x      =  33

              ---          ---

               3            3

               x        =  11

Substitution for the greater number:

        2(11) + 5

          22    + 5

              27

Answer 2

Answer:

Let the 2 no.s be x and x+15. According to the question,. x+x+15=41. 2x+15=41. 2x=41−15. 2x=26. x=262. x=13. ∴ The no.s are 13 and 13+15=28.

Step-by-step explanation: