Question

When an integer is subtracted from 2 times the next consecutive odd integer, the

difference is 9. Find the value of the greater integer.

Answer 1

7

Explanation:

Let x be the "integer." We'll assume it is odd.

The next consecutive odd integer would be x+2.

(2(x+2) - x) =9 [When an integer is subtracted from 2 times the next consecutive odd integer the difference is 9]

(2(x+2) - x) =9

(2x+4) - x) =9

x+4 =9

x = 5

The greater integer is x+2 or 7

Check:

If 5 is subtracted from 2 times the next consecutive odd integer, 7, is the difference 9?

2*7 - 5 = 9?

14 - 5 = 9?

14 - 5 = 9? YES