Question

Find two numbers whose product is equal to its difference

Answer 1

Hey!!
Here is the answer..

The two numbers whose product is equal to it's difference is 2 and -2

Let's check, is it right or not..

Their product =
$2 \times ( - 2 )= - 4$

Their difference =
$( - 2 \: ) - ( + 2) = - 2 - 2 \\ = - 4$
Here,
Their Product= Their Difference
{ - 4 = - 4 }

Hence,
It's right that two numbers whose product is equal to its difference are 2 and - 2.

I hope my answer helped!!

Answer 2

Let the First Number be x and second be y

(Where y>x)

Now,
According to question

Product of terms = difference of terms

xy = y - x

We have only one equation. Therefore it can only be solved using trail and error method.
(1) x = 1

No Solutions possible

2) x =2

2y = y - 2

y = -2

Similarly ,
When ,
x = 3 ,   y = -3/2
x = 4 ,. y = -4/3

And so on .. so on........

Hence, We can see there are many possible number whose product is equal to its difference.

Note:-(1) In case of integer solution , (2,-2) will be correct solution

2) (0,0) is also one of the possible solution