SOLUTION: Adam is 20 years younger than Brian. In two years Brian will be twice as old as Adam. How old are they now?

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Question 1166632: Adam is 20 years younger than Brian. In two years Brian will be twice as old as Adam. How old are they now?
Found 3 solutions by josgarithmetic, ikleyn, greenestamps:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
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You can make the very simple and obvious substitution,...

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
Adam is 20 years younger than Brian. In two years Brian will be twice as old as Adam. How old are they now?
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Let A be the Adam's age.

Then the Brian's age is (A + 20)  years.



In two years  Adam's age will be  (A+2);  Brian's age will be (A+22) years,

and you have this equation

    A + 22 = 2*(A+2).


Simplify and find A

    A + 22 = 2A + 4

    22 - 4 = 2A - A

     A     = 18.


ANSWER.  A is 18 years old.  B is 18+20 = 38 years old.


CHECK.  In 2 years, they will be  20 and 40 years old.   The ratio is 2.  ! Correct !

Solved.


Is everything clear to you in my solution ?



Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The difference in their ages is (and always will be) 20 years.

When Brian is twice as old as Adam, their ages will be 40 and 20.

That will be 2 years from now; that means their current ages are 38 and 18.