Question 1189623
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jake is 2 years older than rosa. Five years later, the sum of their ages will be 40. 
how old are they now
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Rosa = R

Jake = R+2


In 5 years
 
     Jake     + Rosa  = 40

    ((R+2)+5) + (R+5) = 40

     R + 7   +  R+5  = 40

         2R  +  12   = 40

         2R          = 40 - 12 = 28

          R          = 28/2 = 14.


<U>ANSWER</U>.  Rosa is 14 years old;  Jake is 14+2 = 16 years old.


<U>CHECK</U>.   Sum of ages in 5 years is  (14 + 5) + (16 + 5) = 19 + 21 = 40.    !  Correct  !
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Solved, explained and checked.