SOLUTION: Find two consecutive even integers that their sum is equal to the difference of three times the larger and two times the smaller

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Question 1186130: Find two consecutive even integers that their sum is equal to the difference of three times the larger and two times the smaller
Answer by ikleyn(52803) About Me  (Show Source):
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Find two consecutive even integers that their sum is equal to the difference
of three times the larger and two times the smaller
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Taking the two consecutive even integers in the form n and (n+2),

we translate the problem into this Math equation the equation


    n + (n+2) = 3*(n+2) - 2n.


Now we simplify and solve the equation


    2n + 2 = 3n + 6 - 2n

    2n + 2 = n + 6

    2n - n = 6 - 2

       n   =   4 


ANSWER.  The pair of the numbers is (4,6).

Solved.