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

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