The three consecutive numbers whose sum is 84 are 27 , 28 , 29
Step-by-step explanation:
Consecutive numbers are:
1. The numbers that follow each other in order
2. They have a difference of 1 between every two numbers
Examples:
1 , 2 , 3 , 4 , 5 are consecutive numbers
1 , 3 , 5 , 7 are consecutive odd numbers
2 , 4 , 6 , 8 consecutive even numbers
Assume that the smallest number of the three consecutive numbers
is n
∵ The smallest number of the 3 consecutive numbers is n
∴ The 3 numbers are ⇒ n , n + 1 , n + 2
∵ Their sum is 84
Add them and equate the answer by 84
∴ n + (n + 1) + (n + 2) = 84
- Add like terms in the left hand side
∴ (n + n + n) + (1 + 2) = 84
∴ 3 n + 3 = 84
- Subtract 3 from both sides
∴ 3 n = 81
- Divide both sides by 3
∴ n = 27
∵ The 3 numbers are ⇒ n , n + 1 , n + 2
∴ The numbers are ⇒ 27 , (27 + 1) , (27 + 2)
∴ The 3 numbers are ⇒ 27 , 28 , 29
The three consecutive numbers whose sum is 84 are 27 , 28 , 29
Learn more:
You can learn more about consecutive numbers in brainly.com/question/5496711
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