The sum of four consecutive integers is 74.
What is the first integer?
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"Consecutive integers are integers that follow each other in order. They have a difference of 1 between every two numbers. In a set of consecutive integers, the mean and the median are equal. If n is an integer, then n, n+1, and n+2 would be consecutive integers. "
So, we can make an equation since we know they are consecutive integers... Also by seeing the example in the last paragraph I copied and pasted above.
So we have:
\(\sf\Large x + (x+1) + (x+2) + (x+3) = 74\)
Simplify that and solve for x.
subract 6 from both sides
Divide both sides by 4
And my answer was