Three consicutive even numbers are such that the largest of them is twice the smallest. Find the second largest number among the t

Three consicutive even numbers are such that the largest of them is twice the smallest. Find the second largest number among the three​

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  1. Answer:

    let’s say “n” is a natural number. {1,2,3,4,..} To ensure we have an even number we will multiply “n” by 2. Two times any number will make an even number.

    consecutive even numbers are like; 2, 4, 6, 8, 10 .. etc. Add +2 to the previous number to get the next consecutive.

    1st even number = 2n

    2nd even number = 2n + 2

    3rd even number = 2n + 4

    twice the first number (2n) is 20 more then the second (2n + 2).

    2(2n) = 2n + 2 + 20

    4n = 2n + 22

    4n – 2n = 22

    2n = 22

    n = 11

    Now use n = 11 to find the 3 consecutive even numbers.

    1st even number = 2(11) = 22

    2nd even number = 2(11) + 2 = 24

    3rd even number = 2(11) + 4 = 26

    22, 24, 26

    have a nice day

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