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LiRa [457]
3 years ago
12

The sum of 6 consecutive even numbers is 270.What is the second number in this sequence?

Mathematics
2 answers:
denis-greek [22]3 years ago
7 0
The sequence would be 40,42,44,46,48,50.
The second number is 42.
Finger [1]3 years ago
3 0

Answer: 42

Step-by-step explanation:

Let the six consecutive even numbers be x , x+2 , x+4 ,x+6 ,x+8 ,x+10.

Then According to the question , we have

x+(x+2)+(x+4)+(x+6)+(x+8)+(x+10)=270\\\\\Rightarrow\ x+x+2+x+4+x+6+x+8+x+10=270\\\\\Rightarrow\6x+30=270\\\\\Rightarrow\ 6x=270-30\\\\\Rightarrow\ 6x=240\\\\\Rightarrow\ x=40

Now, the second number from the above six consecutive even numbers  is x+2.

Substitute the value of x in it, we get

The second number in this sequence = x+2=40+2=42

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