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!