SOLUTION: Liza is one year older than her sister. In four years Liza will be three times older than she is now. How old is Liza's sister now?

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Question 1151259: Liza is one year older than her sister. In four years Liza will be three times older than she is now. How old is Liza's sister now?

Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Liza x+1
Sister x

In four years:
cross%28%28x%2B1%29%2B4=3%28x%2B4%29%29
Solve for x.




---

"..., three times older than she is now."
%28x%2B1%29%2B4=3x%2Bx
.
.

Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.

The original formulation in the post is  DEFECTIVE,  INACCURATE  and potentially  DANGEROUS.

The correct,  accurate and safe formulation is  THIS :


      Liza is one year older than her sister. In four years Liza will be three times highlight%28cross%28older_than%29%29 as old as she is now. 
      How old is Liza's sister now?


Solution

Let x be the Lisa's age now.


Then from the condition


    x + 4 = 3x.     (In four years Liza will be three times as old as she is now).


From the equation,

    4 = 3x - x

    4 = 2x

    x = 4/2 = 2.


So, Lisa is 2 years old now.


ANSWER.  Lisa' sister is 2-1 = 1 year old now.

Solved.


-------------------

Here I want to explain you,  why the original formulation in the post is  DEFECTIVE,  INACCURATE  and potentially  DANGEROUS.

In English,  in distinction from many other languages,  the statement

    In four years Liza will be three times older than she is now.

means "In four years Liza will be FOUR times as old as she is now."

In English,  it is the only possible interpretation --- and there is  NO  any other interpretation.

But it is,  certainly and definitely,  not that meaning the author of the problem was going to implement.

Probably,  the author of the problem is/was not familiar with this norm/form of English --- so,  learn it from my post.


The second message from me is that the  "solution"  and the setup in the post by  @josgarithmetic is  WRONG.

So,  you better  IGNORE  his post for your safety.



Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
If this were meant as @IKLEYN indicated then Liza's sister is highlight_green%28matrix%281%2C3%2C+1%2C+year%2C+old%29%29