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Sagot :
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.
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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