One-Fourth Of The Middle Integer Of Three Consecutive Even Integers Is 24 Less Than One Half The Sum Of The Other Two. Find The Integers.

One-fourth of the middle integer of three consecutive even integers is 24 less than one half the sum of the other two. Find the integers.

 

Answer:

30 (1st even integer)

32 (2nd even integer)

34  (3rd even integer)

Step-by-step explanation:

One-fourth of the middle integer of three consecutive even integers is 24 less than one half the sum of the other two. Find the integers.

let x be the first even integer

    x + 2 be the middle even integer

    x + 4 be the third even integer

(1/4)(x + 2) = (1/2)(x + x + 4) - 24

solve for x

x = 30 (1st even integer)

x + 2 = 32 (2nd even integer)

x + 4 = 34  (3rd even integer)


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