Question

Give a rule for finding the first of four consecutive integers if you know the sum of the four integers.

Answer 1

Answer:

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Answer 2

If we write the first integer as the variable n, all numbers that come after it can be written as n+1, n+2, etc.

so the sum of four consecutive integers is:

sum = n + (n+1) + (n+2) + (n+3)

if we simplify:

sum = 4n +6

and if we want to know what the first integer is, we can re-write the equation as:

$\frac{sum-6}{4}$ = n

and that is your answer.