Answer:
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 !
