Question

. If the average of 5 consecutive even numbers is 10, find the middle number?
2 points

Answer 1

Answer:

6,  8 , 10 , 12 and 14.

Step-by-step explanation:

Let those consecutive 5 even numbers are a , a + 2 , a + 4 , a + 6 and a + 8.

Given,

       Average of these numbers is 10.

⇒ [ a + ( a + 2 ) + ( a + 4 ) + ( a + 6 ) + ( a + 8 ) ] / 5 = 10

⇒ [ a + a + 2 + a + 4 + a + 6 + a + 8 ] = 5*10

⇒ 5a + 20 =  5*10

⇒ 5( a + 4 ) = 5*10

⇒ a + 4 = 10

⇒ a = 10 - 4

⇒ a = 6

Hence the required numbers are a = 6

                                             a + 2 = 6 + 2 = 8

                                               10 , 12, 14