SOLUTION: I'm thrice as old as you were, when I was as old as you are. Our current ages add up to 80. How old are you and me ?

Question 1018389: I'm thrice as old as you were, when I was as old as you are. Our current ages add up to 80. How old are you and me ?
Found 2 solutions by ankor@dixie-net.com, josmiceli:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let m = the 1st guy
let y = the other guy
let d = (m - y), the difference in their ages
:
I'm thrice as old as you were, when I was as old as you are.
m = 3(y - d)
Replace d with (m-y)
m = 3(y - (m-y))
remove brackets
m = 3(y - m + y)
m = 3(2y - m)
m = 6y - 3m
m + 3m = 6y
4m = 6y
Simplify, divide by 2
2m = 3y
:
Our current ages add up to 80. How old are you and me ?
m + y = 80
y = -m + 80
replace y in the equation 2m = 3y, with (-m+80)
2m = 3(-m+80)
2m = -3m + 240
2m + 3m = 240
5m = 240
m = 240/5
m = 48 yrs is the 1st guys age
Find y
y = -48 + 80
y = 32 yrs is the 2nd guys age
:
:
Check this: 48 - 32 = 16 is the difference in their ages
"I'm thrice as old as you were, when I was as old as you are."
16 yrs ago the 1st guy was 32, the 2nd guy was 16
48 = 3(32 - 16)
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = your age now
= my age now
----------------------
The difference in our ages is:

------------------------
Now I look at:
" when I was as old as you are."
That means when my age was
and you must have been:

------------------------------
" I'm thrice as old as you were "

--------------
At present:
You are 32
I am 48
-----------
check the answer:
"when I was as old as you are"
when I was 32
---------------
The difference in our ages is:
So, you were
---------------
I am 3 times that age. I am

OK
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