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13 December, 04:26

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

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  1. 13 December, 06:49
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    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!
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