Question

Difference between two numbers is 4 and its product is 96 find the numbers? ​

Answer 1

Answer:

the two numbers can be (12, 8) and (-8, -12)

Step-by-step explanation:

Let the two numbers be x and y and x>y

Now it is given that the difference between two numbers is 4

And the product of the two numbers is 96

So, by condition,

x-y = 4

=> x = 4+y-------(1)

And x×y = 96

=> (4+y) ×y = 96

=> 4y+y^2 = 96

=> y^2 +4y -96 = 0

=> y^2 +12y-8y -96=0

=> (y+12) (y-8) = 0

=> y = -12, 8

If y = -12

Then x = 4+y = 4+(-12) = 4-12 = -8

And if y = 8

Then x= 4+y = 4+8 = 12

So, the two numbers can be (12, 8) and (-8, -12)