Mean of four consecutive even numbers is 15. Enter each number separated by a comma
2 answers:
Answer:
12, 14, 16, 18
Step-by-step 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
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 : )
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