Question

The sum of 5 consecutive integers is 270 what is the second number in this sequence

Answer 1

53

Explanation below:

Consecutive numbers means that the next number is 1 larger. This can be represented by x (the first number) + 1, x + 2, x + 3 . . .

So, for this problem the equation would looks like:

x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 270

Now combine the like terms to get:

5x + 10 = 270 (Solve for x, subtract 10 from both sides)

5x = 260 (Divide both sides by 5)

x = 52

That means the first number of the sequence is 52. The following numbers are 53, 54, 55, 56.

The second number is 53.

Hope that helps!

:D®

Answer 2

Let x be the 1st number, the 2nd will be (x+1), the 3rd (x++2), the 4rth (x+3) & the 5th (x+4)


then:      x + (x+1) + (x+2) + (x+3) + (x+4) =270===> 5x+10=270

5x=260 & x=52

So if the 1st number is 52, then 53,54,55 & 55 will be the 5 consecutive integers