The consecutive integers are 2, 3, 4, and 5, as their sum (2 + 3 + 4 + 5) equals 14, satisfying the given condition.
Let's represent the four consecutive integers as n, n+1, n+2, and n+3. The sum of these integers is given by the equation:
n + (n+1) + (n+2) + (n+3) = 14
Combine like terms:
4n + 6 = 14
Subtract 6 from both sides:
4n = 8
Divide by 4:
n = 2
So, the consecutive integers are 2, 3, 4, and 5. To verify, let's check their sum:
2 + 3 + 4 + 5 = 14
The sum is indeed 14, confirming that the consecutive integers 2, 3, 4, and 5 satisfy the given condition. Therefore, these are the integers that sum to 14.
que. Four consecutive integers sum to 14. What are the integers?