a larger integer is 5 more than 3 times a smaller integer. If their sum is 49 find the integer

Question

I need help finding the integer 

Answer 1

Let x = smaller integer   then the larger integer is 5 + 3x

 

the sum is 49 so the equation would be

 

x + 5 + 3x = 49               Combine like terms

 

4x + 5 = 49                     subtract 5 from both sides

 

      4x = 44                     divide both sides by 4

 

       x = 11   This is the smaller number.  The larger number is 5 + 3x = 5 + 3(11) = 5 + 33 = 38, the larger number

 

CHECK

 

The sum of the 2 numbers is 49.

 

11 + 38 = 49    √