Question

Find four consective even numbers whose sum is 68

Answer 1

Let the four consecutive even numbers are x, x + 2, x + 4, x + 6

According to question :-

=> x + x + 2 + x + 4 + x + 6 = 68

=> 4x = 56

=> x = 14

Hence, the required numbers are 14, 16, 18, 20.

Hope this helps.....

Answer 2

The 4 consecutive even numbers are 14, 16, 18 and 20

Given:

Sum of 4 consecutive even numbers = 68
To find:

Find four consecutive even numbers

Solution:

Let x is a even number then next 3 consecutive even numbers are

x+2, x+4, x+6  [ ∵ difference between 2 consecutive numbers is 2 ]

Then the required 4 even numbers are

x, x+2, x+4 and x+6

Sum of the 4 numbers =  x + x+2 + x+4 + x+6 = 4x + 12

From given data sum of 4 numbers = 68

⇒ 4x + 12 = 68

⇒ 4x = 56

⇒ x = 14

The 4 consecutive even numbers are

x+2 = 14+2 = 16

x+4 = 14+4 = 18

x+6 = 14+6 = 20

The 4 consecutive even numbers are 14, 16, 18 and 20

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