Q4 of 33 Page 41

The sum of three consecutive even numbers is 36. What are the numbers?

Let the first even number be 2x.(We are taking 2x to make sure that the number is even i.e. divisible by 2)

Then, the next even numbers = 2x + 2 and 2x + 2 + 2 = 2x + 4


Their sum = 36


⇒ 2x + 2x + 2 + 2x + 4 = 36


⇒ 6x + 6 = 36


⇒ 6x = 36-6


⇒ 6x = 30


⇒


⇒x = 5


⇒ 2x = 10


2x + 2 = 2 × 5 + 2 = 12


2x + 4 = 2 × 5 + 4 = 14


Hence,the required three consecutive even numbers are 10,12,and 14.


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