Question

If the sum of five consecutive positive integer is A , then the sum of next five consecutive integer in sum of A is ?

Answer 1

Answer:

The sum of 5 consecutive positive integers = A. Think of it this way, each of the next 5 consecutive positive integers is 5 more than the corresponding first five integers. SInce there are 5 integers, 5x5 would make the sum 25 greater than A. Thus, answer choice C A+25 is correct.

Answer 2

The sum of next five consecutive integer in sum of A is A + 25

Given :

The sum of five consecutive positive integer is A

To find :

The sum of next five consecutive integer in sum of A

Solution :

Step 1 of 2 :

Find relationship between five consecutive positive integers and A

Let five consecutive positive integers are x , x + 1 , x + 2 , x + 3 , x + 4

Since sum of five consecutive positive integer is A

∴ x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = A

⇒ 5x + 10 = A

Step 2 of 2 :

Find the sum of next five consecutive integer in sum of A

Now next five consecutive integers are x + 5 , x + 6 , x + 7 , x + 8 , x + 9

Hence the sum of next five consecutive integers

= (x + 5) + (x + 6) + (x + 7) + (x + 8) + (x + 9)

= 5x + 35

= 5x + 10 + 25

= (5x + 10) + 25

= A + 25

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