Question

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

Answer 1

Let the two numbers be x and y. 

According to the question, x−y=4…(i)

Also, x × y = 96

⇒ x = y / 96….(ii)

On putting the value of x=y/96 in Eq. (i), we get

y96−y=4

⇒96−y2=4y

⇒y2+4y−96=0

⇒y2+12y−8y−96=0

⇒y(y+12)−8(y+12)=0

⇒(y−8)(y+12)=0

⇒y=8 and −12

But y=−12 can't be the one number as it is given that the numbers are positive. 

⇒y=8, then x= 96/8 =12

Hence, the two numbers are 8 and 12 .