the larger of two consecutive integers is 7 greater than twice the smaller. Find the integers. A. 4,5 B. - 8, - 9 C. - 5, - 6

The integers are - 5, - 6 ⇒ answer C

Step-by-step explanation:

* Lets explain the meaning of consecutive numbers

- Consecutive numbers are numbers that follow each other in order.

- They have a difference of 1 between every two numbers

- Consider that the smaller of two consecutive integer is n, then the

larger one will be n + 1

* In the problem

∵ The larger of the two consecutive integers is 7 greater than twice

the smaller

- That means the larger one is 7 plus twice the smaller

∵ The smaller one is n

∵ The larger one is n + 1

∴ n + 1 = 2 (n) + 7

∴ n + 1 = 2n + 7

- Subtract n from both sides

∴ 1 = n + 7

- Subtract 7 from both sides

∴ - 6 = n

∴ The smaller number is - 6

∵ The greater number is n + 1

∴ The greater number = - 6 + 1 = - 5

* The integers are - 6, - 5