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

Algebra.Com
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)   (Show Source): You can put this solution on YOUR website!


You can make the very simple and obvious substitution,...
Answer by ikleyn(52776)   (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?
~~~~~~~~~~~~~~~~~ 


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)   (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.
RELATED QUESTIONS

adam is 20 years younger than brian .in 2 years brian willbe as old as adam.how are they... (answered by harpazo)
If Brian is seven years younger than his brother then in two years his brother will be... (answered by josmiceli,ikleyn)
If Adam is 15 years younger than Alicia and in 6 years Alicia will be twice as old as... (answered by timvanswearingen)
Jack is 12 years older than Brian. Two years from now, Jack will be twice as old as... (answered by ewatrrr)
brandon is 10 years older than brian. in 2 years Brandon will be 3 times as old as Brian. (answered by College Student)
Sarah is 11 years younger than Adam. In two years, Sarah will be half as old as Adam. How (answered by Alan3354)
adam is 5 years younger than eve. in 1 year , eve will be three times as old as adam wsa... (answered by drj)
Adam is 5 years younger than Eve. In 1 year, Eve will be three times as old as Adam was 4 (answered by drk)
How do i solve using a system of two equations in two variables? Adam is 5 years... (answered by Edwin McCravy)