# Thread: Laura is 3 time as old as Maria was when Laura was as old as Maria is now

1. ## Laura is 3 time as old as Maria was when Laura was as old as Maria is now

Laura is 3 time as old as Maria was when Laura was as old as Maria is now. In 2 years Laura will be twice as old as Maria was 2 years ago. Find their ages.

Laura age is l and Maria age is m.

The second condition says l+2 = 2(m-2)

What does the first sentence say?

2. ## Solution

Oh noes the wrong answer is deleted!

3. Originally Posted by brucejin
Laura is 3 time as old as Maria was when Laura was as old as Maria is now. In 2 years Laura will be twice as old as Maria was 2 years ago. Find their ages.

Laura age is l and Maria age is m.

The second condition says l+2 = 2(m-2)

What does the first sentence say?
The first sentence says:

We have an age for Laura and Maria in the present.
AND
We have an age for Laura and Maria in the past.

Laura's PRESENT age is now 3 times that of Maria's PAST age. (When Laura was as old as Maria now is, but Laura is older, so Maria was younger then...)

"Laura is 3 time as old as Maria was when Laura was as old as Maria is now."

On the left hand side we have,
Laura is 3 times as old, This means that your L has to be 3 times bigger!
3L
No that is not correct.

Laura is 3 times as old as Mary means:
L = 3M

But that is not the correct reasoning anyway.

4. this is some of the classic age problem puzzles, quite similar to Paul Rider's Algebra of the 1930's.

5. "Laura is 3 time as old as Maria was when Laura was as old as Maria is now."

L=3(maria's old age)

laura was maria's age (laura's age now-maria's age now) years ago

maria's old age=maria's age now-(time ago when laura was maria's age)

maria's old age=maria's age now-(Laura's age now-maria's age now)

maria's old age=m-(l-m)

so now u can solve it using the equation above