jacksonjadeon02 jacksonjadeon02
  • 26-10-2020
  • Mathematics
contestada

The sum of three consecutive ODD integers is 105. What is the value of the SMALLEST?

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 26-10-2020

Answer:

33

Step-by-step explanation:

The difference between two consecutive odd integers is 2.

Let the smallest odd integer be x.

The next greater odd integer is x + 2.

The next greater odd integer is 2 more than the second one, so it is

x + 2 + 2 = x + 4.

The 3 odd integers are x, x + 2, x + 4.

Add them and set the sum equal to 105. Then solve for x.

x + x + 2 + x + 4 = 105

3x + 6 = 105

3x = 99

x = 33

Answer: The smallest of the 3 integers is 33.

Answer Link

Otras preguntas

Which of the following was likely present in Earth's early atmosphere over four billion years ago?
how do you simplify this?? please do step-by-step, i have the answer i just don’t know how to get to it and i have a test tomorrow
Someone answer for me really need it
Ben drives 405 miles on 15 gallons. How many miles does Ben drive on one gallon? A) 4.05 miles per gallon B) 27 miles per gallon C) 1 over 27. miles per gallon
Find the number less than 100 that has the largest number of factors​
What is the difference between sexuality and sex?
all of the following terms are associated with a four-year degree except
does the verb agree with the subject in the sentence I can or a box do the job A. yes B. no
A student earned 36 out of 50 points on the last test. What percent correct did the student earn?
Find the sum of (2x – 5) and (3x + 10)