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Eric is twice as old as his brother Lucas. If 4 is subtracted from Eric's age and 4 is added to Lucas age, their ages will be equal. What are the boys' ages now?

 Jan 26, 2020
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You are given this

   Eric is twice as old as his brother Lucas       soo  E = 2L

you are given this too

  If 4 is subtracted from Eric's age and 4 is added to Lucas age, their ages will be equal.

           sooo   E-4 = 4+L

 

Let's put in   E = 2L into the second equation

      2L-4 = 4+L        now subtract 'L' from both sides

        L -4 = 4           Now add 4 to both sides of the equation

        L = 8      This is Lucas'  age

 

E = 2L   =   2(8) = 16     Eric's age

 Jan 26, 2020

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