The sum of two integers is 47. The larger integer is 1 less than twice the smaller. Find the two integers.

Question

homework problem

Answer 1

Let the smaller integer be x. Then the first clue is that the larger integer is 47 - x. The second clue is that the larger integer is also 2x - 1. Now equate.

 

2x - 1 = 47 - x

 

3x = 48

 

x = 16

 

47 - x = 31

 

The two integers are 16 and 31.