Question 1180346
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A tree that is 8 feet tall is growing at a rate of 2 feet each year. Another tree that is 10 feet tall is growing 
at a rate of 1 foot each year. Determine how many years it will take for the two trees to reach the same height.
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        @mananth gives the answer  3  years.


        But if you check it, you will see that first tree will be  8 + 3*2 = 14 m tall,

        while the second tree will be  10 + 3 = 13 m tall in 3 years.


        So,  the solution and the answer by @mananth both are  INCORRECT.


        I came to bring a correct solution.



<pre>
The correct formula for the first tree height is

    h1(t) = 8 + 2t,  where t is the time in years from now, in years.


For the first tree height is

    h2(t) = 10 + t,  where t is the time in years from now, in years.


We equate two heights

    8 + 2t = 10 + t,

    2t - t = 10 - 8,

       t   =    2.


<U>ANSWER</U>.  Two trees will reach the same height in 2 years from now.
</pre>

Solved correctly.