Let us assume that the first integer is n. Then the next
integer is (n+1) and the third integer is (n+2)
Given that
the sum of the three integers is 366
Then we will write as
algabraic expression.
==> n + (n+1) + (n+2) =
366
Now we will combine like
terms.
==> 3n + 3 =
366
Now we will subtract 3 from both
sides.
==> 3n = 363
Now
we will divide by 3.
==> n =
121
==> n+1 =
122
==> n+2 =
123
Then, the three consecutive integers are
121, 122, and 123.
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