Question

Find two numbers whose sum is $26$ and whose product is $165$

• A. $11$ and $15$
• B. $11$ and $10$
• C. $14$ and $15$
• D. None of the above

Answer 1

Answer: (A)

$11$ and $15$

Let the two number be $x$ and $y$.

Given, $x+y=26$ and $xy=165$

$\Rightarrow x(26-x)=165$

$\Rightarrow x^2+165-26x=0$

$\Rightarrow x=11,15$

Hence, the numbers are $11$ and $15$.