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

Answer:The integers are -5 , -6 ⇒ answer CStep-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