SOLUTION: 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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Question 1189623: jake is 2 years older than rosa. Five years later, the sum of their ages will be 40. how old are they now
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
jake is 2 years older than rosa. Five years later, the sum of their ages will be 40.
how old are they now
~~~~~~~~~~~~~~~ 

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.


ANSWER.  Rosa is 14 years old;  Jake is 14+2 = 16 years old.


CHECK.   Sum of ages in 5 years is  (14 + 5) + (16 + 5) = 19 + 21 = 40.    !  Correct  !

Solved, explained and checked.



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


If the sum of their ages will be 40 5 years from now, then the sum of their ages now is 30.

Given that Jake is 2 years older than Rosa, we can solve the problem formally:

let x = Rosa's age
then x+2=Jake's age

The sum of their ages is 30:
x+x+2=30
2x+2=30
2x=28
x=14

ANSWERS:
Rosa's age = x = 14
Jake's age = x+2 = 16

If a formal algebraic solution is not required...

The sum of their ages is 30;
If they were the same age, they would be 15 and 15;
But since the difference in their ages is 2, their ages are 14 and 16