SOLUTION: Find two consecutive positive even integers such that the square of the second, decreased by twice the first is 124 find the numbers. Show steps and use let statements

Question 1176823: Find two consecutive positive even integers such that the square of the second, decreased by twice the first is 124 find the numbers.
Show steps and use let statements
Answer by ikleyn(52790) (Show Source): You can put this solution on YOUR website!
.


Seeking for the numbers n, n+2, you have this equation


    (n+2)^2 - 2n = 124


    n^2 + 2n + 4 = 124


    n^2 + 2n = 120

   
    n*(n+2) = 120


    n = 10               ANSWER

Solved.

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