Question

O No : 20
What is the sum of 10th consecutive even number after 100 and 10th consecutive even number before
100?
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Answer 1

Answer:

The sum of 10 consecutive even numbers is 100. What is the first number in this sequence?

Let the smallest and first of five consecutive even numbers be n. Thus other four consecutive even numbers will be n+2, n+4, n+6 and n+8

Step-by-step explanation:

As per statement, their sum is 100. It means

n + (n+2) + (n+4) + (n+6)+(n+8)= 100

n + n+2 + n+4 + n+6 + n+8= 100

5n + 20=100

5n=100 - 20

5n = 80(

n = 80 / 5

n = 16

The smallest and first of five consecutive even number is 16, therefore other four consecutive even numbers are n + 2= 16 + 2 = 18, n + 4 = 16 + 4 = 20 , n + 6 = 16 + 6 = 22 and n + 8= 16 + 8 = 24.

Answer the smallest and first of five consecutive even numbers is 16.

To check the correctness of answer, we take the sum of derived numbers, which should be 100.

16 + 18 + 20 + 22+ 24 = 100

100 = 100

Means answer is correct

Answer 2

Answer:

10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60,62,64,66,68,70,72,74,76,78,80,82,84,86,88,90 92,94,96,98,100