17.8k views
4 votes
Find three consecutive odd integers whose sum is 105. Write the equation

User Kitensei
by
8.3k points

1 Answer

2 votes

Answers:

(x)+(x+2)+(x+4) = 105 is the equation

The three consecutive odd integers are 33, 35, 37

33+35+37 = 105

=====================================================

Work Shown:

x = first odd integer

x+2 = next consecutive odd integer

x+4 = third consecutive odd integer

The three items sum to 105

(x)+(x+2)+(x+4) = 105 is the equation

3x+6 = 105

3x = 105-6

3x = 99

x = 99/3

x = 33 is the first odd integer

x+2 = 33+2 = 35 is the second consecutive odd integer

x+4 = 33+4 = 37 is the third consecutive odd integer

-----------

Check:

33+35+37 = 105

The answers are confirmed.

User Cadolphs
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories