SOLUTION: Find three consecutive odd integers whosw sum is 105.

Click here to see ALL problems on Numbers Word Problems

Question 211899This question is from textbook Algebra
: Find three consecutive odd integers whosw sum is 105. This question is from textbook Algebra

Found 2 solutions by Fombitz, MathTherapy:
Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website!
N : First integer
N+1 : Second integer
N+2 : Third consecutive integer
Sum = N+(N+1)+(N+2)=3N+3=105
3N=102
N=34
N+1=35
N+2=36

Answer by MathTherapy(10555) (Show Source):
You can put this solution on YOUR website!
Find three consecutive odd integers whosw sum is 105.

Let the 1st odd integer be F, then the 2nd consecutive odd integer is F + 2, and the 3rd consecutive odd integer is F + 4

Since the sum of these 3 consecutive odd integers is 105, then:

F + F + 2 + F + 4 = 105

3F + 6 = 105

3F = 99

= 33

Therefore, the three CONSECUTIVE ODD INTEGERS are