the sum of three consecutive numbers is 72 find the number
Answers
Answer:
The numbers are: 23,24,and25 and the smallest one is 23
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Step-by-step explanation:
The sum of three consecutive numbers is 72. What are the smallest of these numbers?
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Let n = the first of three consecutive numbers.
Let n + 1 = the second consecutive number, and ...
Let n + 2 = the third consecutive number.
Since we're given that: "the sum of three consecutive numbers is 72," then we can now translate this statement mathematically into the following equation to be solved for the unknown number n:
n + (n + 1) + (n + 2) = 72
n + n + 1 + n + 2 = 72
Collecting like-terms on the left, we get:
3n + 3 = 72
3n + 3 - 3 = 72 - 3
3n + 0 = 69
3n = 69
(3n)/3 = 69/3
(3/3)n = 69/3
(1)n = 23
n = 23
Therefore, ,...
n + 1 = 23 + 1 = 24 and
n + 2 = 23 + 2 = 25
CHECK:
n + (n + 1) + (n + 2) = 72
23 + (24) + (25) = 72
23 + 24 + 25 = 72
72 = 72