Answers

2015-08-19T15:50:03+08:00
Question:
The sum of three consecutive odd numbers is 81. What are the numbers?

Representation:
n = 1st integer
n + 2 = 2nd integer
n + 4 = 3rd integer

Working Equation:
n + (n + 2) + (n + 3) = 81 -- 81 is the expected outcome.

Sol'n:
n + (n + 2) + (n + 4) = 81

Add like terms

(n + n + n) + (2 + 4) = 81
3n + 6 = 81

Transpose

3n = 81 - 6

Simplify

3n = 75

Divide both sides by 3. (Dividing by 3 to remove the constants on the right side.)

3n/3 = 75/3

Find the 3 integers.

If n = 25, therefore:
n = 25
n + 2 = 27
n + 4 = 31
FINAL ANSWER:
The three consecutive odd integers, whose some is 81, is 25, 27, and 31.

Hope this helped.







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2015-08-21T18:10:30+08:00