Question

If the sum of $2$ natural no. is $8$ & their product is $15$. Find the numbers.

Answer 1

Let no. be $x$ and $y$

Now, $x+y=8$ and $xy=15⟹y=\frac{15}{x}$

So $x+\frac{15}{x}=8⟹x^2-8x+15=0⟹(x-5)(x-3)=0$

So, $x=3$ or $x=5$

and $y=5$ or $y=3$

Thus no. are $3$ and $5$.