Q84 of 113 Page 110

The sum of three consecutive even natural numbers is 48. Find the greatest of these numbers.

Let us write three consecutive even number series as 3

Consecutive even numbers = x,x + 2,x + 4


Sum of consecutive even numbers = x + x + 2 + x + 4


48 = 3x + 6


-3x = 6-48


-3x = -42


x = 14


(divide by 3 on both sides)


∴3 consecutives even numbers = x,x + 2,x + 4


= 14,14 + 2,14 + 4


= 14,16,18


Hence the above series biggest number


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