maypanem
maypanem maypanem
  • 03-06-2020
  • Mathematics
contestada

The sum of 9 consecutive numbers is 279. What is the sum of the first and the last number?

Respuesta :

musiclover10045
musiclover10045 musiclover10045
  • 03-06-2020

Let the first number = x

The second number would be x +1

3rd number = x +2

4th number = x +3

5th number = x+4

6th number = x+5

7th number = x +6

8th number = x +7

9th number = x+8

The sum is 279

Combine like terms in the 9 numbers to get: 9x + 36 = 279

Solve for x:

9x + 36 = 279

Subtract 36 from both sides:

9x = 243

Divide both sides by 9:

x =27

The first number is 27

The last number would be 27 + 8 = 35

The sum of the first and last would be 27 + 35 = 63

Answer Link

Otras preguntas

What are the 3 features of a typical seigneurie
Which of the following can be considered fossils? a. a 1 billion year-old rock. b. a 1 billion year-old piece of amber. c. a 1 billion year-old piece of amber w
Write a system of equations with a solution (4,–3)
How do you Factor c(squared)-8c ??
the cafeteria has 45 square  tables that can be pushed together to form one long table for the lacrosse team's banquet. Each square table can seat one person on
How do scientists use seismic waves to determine the interior structure of Earth?
How many atoms are in 0.750 moles of zinc?
Natalie earns $2.50 for each cd she sells and $3.50 for each dvd she sells.  Natalie sold 45 dvds last year.  She earned a total of $780 last year selling cds a
Why was is difficult for the Arab people to form one nation?
If a slope of a line is 2/0 is it 0 or undefined?