Answer:
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
