Question #88027

1 Answer
May 28, 2017

Our time traveler is #30# years old

Explanation:

Let's write this in terms of math. Let's say #x# is the age of our time traveler. We know that when he went back in time, his age was three times the age of his wife. Since the couple was the same age, that means he's a third of his current age. We also know he went back #20# years:

#x/3=x-20#

Now we can solve for #x#. I will subtract #x# from both sides:

#x/3-x=x-20-x#

This leaves:

#-2x/3=-20#

Now multiply both sides by #-3/2#

#(-3/2)(-2x/3)=-20(-3/2)#

This leaves:

#x=30#

So our time traveler is #30#