When the smaller of the two consecutive integers is added to two times the larger, the result is 20. Find the integers.

Question

The numbers are_,_. 

Answer 1

Let x be the smaller number

Then the larger number is x+1 because the two numbers are consecutive integers

 

When the smaller of two consecutive numbers is added to two times the larger, the result is 20

 

(the smaller of two consecutive numbers) + (two times the larger) = 20

 

x + 2(x + 1) = 20

 

x + 2x + 2 = 20

 

3x + 2 = 20

 

3x = 18

 

x = 6

 

Find the integers

   The integers are 6 and 7

 

check

   6 + 2(7) = 6 + 14 = 20 check