Question

The sum of five consecutive numbers is 360. What is the smallest of these numbers? *

Answer 1

70

Explanation:

An easy way to do this is to simply take 360(the sum) and divide it by 5(the number of numbers) to get 72. Thus, 72 is the middle number and the numbers are:

72

72,72,73

70,71,72,73,74

The smallest of these numbers is 70

Hope it helps <3

Answer 2

Hello!

Answer:

70 is the smallest number.

Explanation:

If the sum of 5 consecutive numbers is 360, we can solve for the smallest number algebraically:

Let 'x' represent the smallest number:

and (x + 1), (x + 2), (x + 3), and (x+4) represent the other consecutive numbers:

x + (x + 1) + (x + 2) + (x + 3) + (x+ 4) = 360

Combine like terms:

5x + 10 = 360

Subtract 10 from both sides:

5x = 350

Divide both sides by 5:

x = 70. This is the smallest of the consecutive numbers.

We can check our work:

70 + 71 + 72 + 73 + 74 = 360.

Hope this helped!