n :-Find the three consecutive even numbers whose sum is 240.Answer :-The three consecutive even numbers whose sum is 240 are 78, 80 and 82.______________________________________To find :-Three consecutive even numbers whose sum is 240.Step-by-step explanation :-The numbers are even and they are also consecutive.It is given, that their sum is 240.Now, let the FIRST number be x.Then the other two numbers will be x + 2 and x + 4 respectively.This is because 2 and 4 are even numbers, while 1 and 3 are not, and also because these two even numbers are consecutive.Now clearly, these numbers will add up to 240.So, we get :-REMOVING the brackets,Adding all the variables and the constants separately,Transposing 6 from LHS to RHS, changing it's sign,On simplifying,Transposing 3 from LHS to RHS, changing it's sign,Dividing 234 by 3,Since the first number (x) = 78,Therefore, the other two numbers are as follows :- x + 2 = 78 + 2 = 80. x + 4 = 78 + 4 = 82.______________________________________Verification :-To check our answer, we just have to add these three numbers and SEE WHETHER we get 240 or not.78 + 80 + 82 = 240.Since these three consecutive even numbers add up to 240,Hence verified!________________________________