120k views
0 votes
Mean of four consecutive even numbers is 15. Enter each number separated by a comma


User Steenslag
by
4.1k points

2 Answers

2 votes

Answer:

12, 14, 16, 18

Explanation:

(x + (x+2) + (x+4) + (x+6))/4 = 15

^ solve algebraically

you'll get (4x+12)/4 = 15

then: 4x + 12 = 60

then 4x = 60-12

then 4x = 48

then x = 12

x is 12 so then do substitution

so you get

12 + (12+2) + (12+4) + (12+6)

12, 14, 16, 18

User Thannes
by
5.0k points
6 votes
Let the first number be x.
Therefore second number is (x+2).
Therefore third number is (x+4).
Therefore forth number is (x+6).

Hence,
(x+x+2+x+4+x+6+x+8)/4 = 15
(4x+12)/4 = 15
x+3 = 15
x = 12

So,
The number is 12, 14, 16, 18.

Hope it helps : )
User Matt Sanders
by
5.1k points