Question

average of 5 consecutive even number is 12.smallest number and largest number are​

Answer 1

Answer:

8 and 16

Step-by-step explanation:

Find the sum of the 5 consecutive even numbers:

Average = 12

Sum = 12 x 5 = 60

Define x:

Let x be the smallest number

The other 4 numbers will be (x + 2), (x + 4), (x + 6) and (x + 8)

Solve x:

x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 60

x + x + 2 + x + 4 + x + 6 + x + 8 = 60

5x + 20 = 60

5x = 40

x = 40 ÷ 5

x = 8

Find the smallest number and the largest number:

Smallest number = x = 8

Largest number = x + 8 = 8 + 8 = 16

Answer: The smallest number is 8 and the largest number is 16