Question

Product of two number is 616 and sum of their squares is 1268 what is the difference between the number

Answer 1

Answer:

The difference between the numbers is $6$

Step-by-step explanation:

Let the numbers be $x$ and $y$.

given

$xy=616$ and $x^{2} +y^{2}=1268$

we have to find $x-y$.

We know the equation,

$(x-y)^{2}=x^{2} +y^{2} -2xy$

             $=1268-2(616)=1268-1232$

             $=36$.

That is

$(x-y)^{2}=36$

therefore $(x-y)=6$.

(since the product is positive, $(x-y)=-6$ need not be considered)

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