SOLUTION: Ethan is older than Jordan. Their ages are consecutive integers. Find Ethan’s age if the sum of the square of Ethan’s age and 4 times Jordan’s age is 56

Question 1199782: Ethan is older than Jordan. Their ages are consecutive integers. Find Ethan’s age if the sum of the square of Ethan’s age and 4 times Jordan’s age is 56
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.


    E^2 + 4*(E-1) = 56

    E^2 + 4E - 4 = 56

    E^2 + 4E = 56 + 4 = 60

    E^2 + 4E + 4 = 60+4 = 64

    (E+2)^2 = 64

     E + 2 =  = 8

     E = 8 - 2 = 6.


ANSWER.  Ethan is 6 years old.

Solved.

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