The sum of three consecutive even integers is 114. what is the largest number?

40 is the largest number !

36 , 38 & 40 are the consecutive numbers having sum of 114 !

Step-by-step explanation:

• A consecutive numbers means number are in a sequence and are one after the another !

• A consecutive even numbers differ by 2 because all even numbers are divisible by 2 !

• If the number is divisible by x we must had taken number as n , ( n + x ) ,

( n + 2x )

Let the consecutive even numbers be n ( n + 2 ) and ( n + 4 )

Given :- Sum of the numbers is 114

n + n + 2 + n + 4 = 114

3n + 6 = 114

3n = 114 - 6

3n = 108

n = 108/3

n = 36

So, the Consecutive even numbers are :-

n = 36

n + 2 = 36 + 2 = 38

n + 4 = 36 + 4 = 40

So, the Largest number is 40 !!

• Verification :-

36 + 38 + 40 = 114

Hence, it satisfies the given condition !

so, verified !