The three consecutive positive integers are 11 , 12 , 13
Step-by-step explanation:
Lets explain the meaning of consecutive integers
1. Consecutive integers are the integers that follow each other in order
2. The difference between each two consecutive integers is 1
Ex: 1 , 2 , 3 , 4 , ........ are consecutive integers
2 , 4 , 6 , 8 , ........ are consecutive even integers
1 , 3 , 5 , 7 , .......... are consecutive odd integers
∵ There are three consecutive positive integers
- Assume that the first positive integer is x
∵ The 1st positive integer is x
∴ The 2nd positive integer is x + 1
∴ The 3rd positive integer is x + 2
If the third number is subtracted from the the sum of the first two
numbers, the difference is 10
∵ The sum of the first two numbers = x + x + 1 = 2x + 1
∵ The 3rd number subtracted from the sum of the first two numbers
∴ The difference = (2x + 1) - (x + 2)
- Simplify it
∴ The difference = 2x + 1 - x - 2
- Add like terms
∴ The difference = (2x - x) + (1 - 2)
∴ The difference = x + (-1)
∴ The difference = x - 1
∵ The difference = 10
- Equate the difference
∴ x - 1 = 10
- Add 1 for both sides
∴ x = 11
∵ x represents the first numbers
∴ The numbers are 11 , 12 , 13
The three consecutive positive integers are 11 , 12 , 13
Learn more:
You can learn more about consecutive numbers in brainly.com/question/5496711
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