Answer
Success!
(1, 2, 3, 4)
↓Steps Explained:↓
The sum of 4 consecutive numbers equals 10
What are the 4 numbers?
Setup Relational Equation
1) Set up an equation where our numbers are n, n + 1, n + 2, n + 3
2) We increment by 1 for each number since we have numbers.
3) We set this sum of consecutive numbers equal to 10
n + (n + 1) + (n + 2) + (n + 3) = 10
Simplify this equation by grouping variables and constants together:
(n + n + n + n) + 1 + 2 + 3 = 10
4n + 6 = 10
Subtract 6 from each side to isolate 4n:
4n + 6 - 6 = 10 - 6
Cancel the 6 on the left side and we get:
4n + 6 - 6 = 10 - 6
4n = 4
Divide each side of the equation by 4 to isolate n:
| 4n | |
| 4 |
| = |
| 4 |
| 4 |
Cancel the 4 on the left side:
| = |
| 4 |
| 4 |
n = 1
Call this n1, so we find our other 3 numbers
n2 = n1 + 1
n2 = 1 + 1
n2 = 2
n3 = n2 + 1
n3 = 2 + 1
n3 = 3
n4 = n3 + 1
n4 = 3 + 1
n4 = 4
List out the 4 consecutive numbers
4 ← 4th or the Largest, Maximum, Highest Value
Check your work:
1 + 2 + 3 + 4 ? 10
10 = 10
Final Answer:
(1, 2, 3, 4)Take the Quiz
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