SOLUTION: Rachel is now three times as old as Mike but in five years she will only be twice as old as Mike. How old is Rachel now?

Algebra.Com
Question 1102968: Rachel is now three times as old as Mike but in five years she will only be twice as old as Mike. How old is Rachel now?
Found 2 solutions by ikleyn, addingup:
Answer by ikleyn(52833)   (Show Source): You can put this solution on YOUR website!
.
R = 3M            (1)    (now)
R+5 = 2*(M+5)     (2)    (in 5 years)


Substitute (1) into equation (2). You will get

3M + 5 = 2*(M+5)  ====>

3M + 5 = 2M + 10

3M - 2M = 10 - 5  ====>  M = 5.


Answer.  Mike is 5 years old.  Rachel is 15 years old.

----------------
There is a bunch of lessons on age word problems
    - Age problems and their solutions
    - A fresh formulation of a traditional age problem
    - Really intricate age word problem
    - Selected age word problems from the archive
    - Age problems for mental solution
in this site.

Read them and become an expert in solving age problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Age word problems".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.



Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
R = 3M use this value for R next
R+5 = 2(M+5) substitute for R here
3M+5 = 2M+10
M = 5 and R = 3M = 3 x 5 = 15

RELATED QUESTIONS

Betty is now three times as old as mike,but in five years she will be only twice as old... (answered by stanbon,Natolino1983)
Betty is now three times as old as Mike, but in five years she will be only twice as old... (answered by Alan3354)
Mary is twice as old as Rachel will be in seven years. Four years ago, Mary was four... (answered by ankor@dixie-net.com)
Betty is now three times as old as mike, but in five years she will be only twice as old... (answered by ankor@dixie-net.com)
rachels mom is 3 times as old as rachel. Eight years from now, rachel will only be half... (answered by algebrahouse.com)
Mike is now 5 years old. His older sister, Kim is three times as old as Mike. When Mike... (answered by tommyt3rd)
In five years, Mike will be twice as old as Andy. The sum of their present age is 80. How (answered by Alan3354)
James is 5 times as old as Mike. In 9 years James will only be twice as old as Mike is... (answered by lwsshak3)
anna is three times as old mica now,but in three years time she will only be twice as... (answered by math_helper)