SOLUTION: Write an equation AND solve it from the word problem below: The sum of five consecutive even numbers is 180. What are the smallest of these numbers?

Algebra.Com
Question 958942: Write an equation AND solve it from the word problem below:
The sum of five consecutive even numbers is 180.
What are the smallest of these numbers?
Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Write an equation AND solve it from the word problem below:
The sum of five consecutive even numbers is 180.
What are the smallest of these numbers?
-------
1st:: 2x-4
2nd:: 2x-2
3rd:: 2x
4th:: 2x+2
5th:: 2x+4
-----
Equation::
sum = 180
5(2x) = 180
10x = 180
x = 18
----
1st: 2x-4 = 32
2nd: 34
3rd: 36
4th: 38
5th: 40
----------
Cheers,
Stan H.
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

Write an equation AND solve it from the word problem below:
The sum of five consecutive even numbers is 180.
What are the smallest of these numbers?
Let smallest of the 5 numbers, be S

Then other 4 are: S + 2, S + 4, S + 6, and S + 8

We then get: S + S + 2 + S + 4 + S + 6 + S + 8 = 180

5S + 20 = 180

5S = 180 - 20

5S = 160

S, or smallest of 5 numbers = , or  

RELATED QUESTIONS


The sum of 2 consecutive even numbers is 54. what are the numbers? write an equation and... (answered by Alan3354)

The sum of two consecutive even whole numbers is 186. Write and solve an equation to find  (answered by Alan3354)

The sum of two consecutive numbers is 221. What are the numbers? Write and solve an... (answered by Alan3354)

The sum of two consecutive even numbers plus the next odd number is 161. Write an... (answered by ramkikk66)

The sum of 3 consecutive odd numbers is 75.
Write an equation and solve... (answered by mathie123)

write and solve an equation to solve each problem

3 consecutive even integers can be... (answered by ankor@dixie-net.com,Alan3354)

the sum of two consecutive odd numbers plus the next even number is 56.write an algebraic  (answered by shree840)

The sum of two consecutive even numbers plus the next odd number is 212. Write an... (answered by Alan3354)

The sum of three consecutive even integers is 270. Write and solve an equation to find... (answered by Alan3354)