SOLUTION: “I am four times as old as you were when I was the same age as you are now. I am forty years old, how old are you?”

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Age -> SOLUTION: “I am four times as old as you were when I was the same age as you are now. I am forty years old, how old are you?”      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 201940: “I am four times as old as you were when I was the same age as you are now. I am forty years old, how old are you?”
Answer by josmiceli(6784) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = my age now
given:
Other person'a age is 40
--------------------------------
Assume the other person is older, in
other words, I am younger than 40
I will always be (other person's age) - (difference in our ages)
The difference in the ages is always 40+-+x
40+=+4%2A%28x+-%2840+-+x%29%29
40+=+4%2A%28x+-+40+%2B+x%29
40+=+4%2A%282x+-+40%29
40+=+8x+-+160
8x+=+200
x+=+25
I am 25 years old
check answer:
when the other person was my age, I was
40+-+25+=+15
and
40+=+4%2A%28x+-%2840+-+x%29%29
40+=+4%2A%2825+-+15%29
40+=+40
OK