the sum of two numbers is 27. the larger number is 3 more than the smaller number. what are the two numbers?

Question

help solve them.

Answer 1

Hi Jaylyn...I'll take a crack at this...

 

                                                        x +y =27

 

                                                        y + 3 = X ----> 3 more than the smaller

 

                                 Y+3 +y  =27

 

                                2y + 3  = 27

 

                                     -3        -3       

                                ____________

 

                                2y     =24

                              ___      ____

                                2          2

 

                             Y=12-------->  smaller

 

                      X + Y  =27

 

                     x   +12  =27

 

                         -12    -12

                    _____________

                     X=15               ------->Larger

 

              Hope this helps!

 

 

Answer 2

Let's assign the following...

 

    x=smaller number

x+3=larger number, given info

 

small# + large# = 27

       x   +   (x+3)  = 27

                   2x+3 = 27....combine like terms

                       2x = 24....subtract 3, both sides

                    ∴  x = 12....divide both sides by 2

 

Let's check our solution...

    x+(x+3)=27.....given, problem statement

12+(12+3)=27....substitute for "x"

       12+15=27....simplify

             27=27.....true,√check, our solution

                             is correct

 

Always check your solution and work.

 

So...
Smaller number is x=12 and...
Larger number is x+3=12+3=15