Question 1086208
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the difference of 2 numbers is 3. If the difference of their {{{highlight(cross(squared))}}} squares is 15, what is the sum of the numbers ?
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<pre>
{{{x^2 - y^2}}} = 15  ====>  (x+y)*(x-y) = 15.


Now replace x-y by 3, according to the condition. You will get


3*(x+y) = 15  ===>  x + y = {{{15/3}}} = 5.


<U>Answer</U>.  x + y = 5.
</pre>

Solved.


There is NO any need to solve quadratic equation.



&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The solution should not be more complex than the problem requires.     &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(Einstein)