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irina1246 [14]
3 years ago
15

The sum of 5 consecutive integers is 120. what is the third number in this sequence?

Mathematics
1 answer:
guapka [62]3 years ago
5 0

Answer:

The third number in the sequence is 24.

Step-by-step explanation:

Sum of five consecutive numbers is 120.

Let the numbers be represented by x,x+1,x+2,x+3,x+4

So the relevant equation for the sum of the numbers is represented as:

x + (x+1) + (x+2) + (x+3) + (x+4) = 5x + (1+2+3+4) = 5x+10

=> 5x + 10 = 120

=> 5x = 120-10

=> 5x = 110

=> x= 110/5 = 22

So the 5 consecutive numbers are 22, 22+1, 22+2, 22+3 , 22+4

In other words the required numbers are 22,23,24,25,26

The third number in the sequence is 24.

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