Question 1147216
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<U>Algebra method</U>


<pre>
    x*(x+5) = 414.


    x^2 + 5x - 414 = 0.


Solve this quadratic equation by any way you can / (you know).
</pre>


<U>Trial and error "guessing" method</U>



<pre>
Try to guess two factors of the number 414 such that

   
    x * y = 414  and x and y  differ by 5.


414 has factors


    2  and  207

    2*3= 6 and 69

    2*3*3 = 18 and 23   <<<---===   O-o-p-s !   these factors are PERFECTLY good (!)


<U>Check</U>.   18*23 = 414  and  23 - 18 = 5.


<U>ANSWER</U>.  18 and 23 years old.
</pre>

Solved.