Question 1049121
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Yaniara is 3 years older than Tim and she is twice as old as Hannah.  Tim is 2 years older than Hannah.  How old are Yanaira, Tim and Hannah?

I believe 
X = Tim's age 
X+3 = Yaniars age 
X-2 = Hannah

Trying to help my daughter with homework problem.  I am sorry I am not good with these
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<pre>
Y = T + 3,    (1)   ("Yaniara is 3 years older than Tim ")
Y = 2H.       (2)   ("and she (Yaniara !) is twice as old as Hannah."

From these two equations you get

T + 3 = 2H.   (3)

We also have one more condition: "Tim is 2 years older than Hannah." 
It means that

T = H + 2.    (4)

Substitute the expression T = H + 2 into (3). You will get

(H + 2) + 3 = 2H,   or

2 + 3 = 2H - H,  or

H = 5.

So, you found that Hannah is 5 years old.

Then Tim is 5 + 2 = 7 years old.

Then Yaniara is T + 3 = 7 + 3 = 10 years old.

<U>Answer</U>.  Hannah is 5, Tim is 7, Yaniara is 10 years old.
</pre>

Solved.



1. &nbsp;&nbsp;This problem is SIMPLE.


2. &nbsp;&nbsp;It is not about writing and solving a system of three equations in three unknowns!!!


3. &nbsp;&nbsp;It is about correct and reasonable choice the major and appropriate unknowns.


4. &nbsp;&nbsp;Finally, it is about attentive reading and understanding the condition.


5, &nbsp;6, &nbsp;7. &nbsp;&nbsp;This is the <U>LESSON TO LEARN</U> from the solution.