SOLUTION: Find 3 consecutive odd integers whose sum is 43 (Hint: if n represents the smallest of the three integers, n+2 and n+4, represent the other two numbers)

Question 445631: Find 3 consecutive odd integers whose sum is 43 (Hint: if n represents the smallest of the three integers, n+2 and n+4, represent the other two numbers)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The sum of 3 consecutive integers, in order, odd, or even, is divisible by 3.
43 is not, so there's no solution
-----------
If we pretend we don't know that:
n + n+2 + n+4 = 43
3n+6 = 43
3n = 37
n = 37/3, not an integer
----------
Examples:
9+11+13 = 33
23+25+27 = 75
----------
20+22+24 = 66
7+8+9 = 24
All the sums are divisible by 3

RELATED QUESTIONS
The sum of three consecutive odd integers is 32 more than the smallest. What are the... (answered by josgarithmetic)

Determine three consecutive odd integers such that the sum of the smallest and three... (answered by ikleyn)

The expression 2n+1 represents an odd integer. Write an expression to find three... (answered by Alan3354,Theo)

sum of three consecutive integers is -14.Find the numbers? n , n+1=? ,... (answered by Alan3354)

To solve integer problems. Find three consecutive odd integers such that three time... (answered by Alan3354)

write and solve an equation to solve each problem 3 consecutive even integers can be... (answered by ankor@dixie-net.com,Alan3354)

Two consecutive odd integers can be modeled by n and n + 2, where n is an odd integer.... (answered by Alan3354)

the 3rd number of the three consecutive odd integers if the first odd number is... (answered by Alan3354)

Consecutive Integers-Find the three consecutive integers whose sum is 84. I know the... (answered by scott8148)