Q. 105.0( 2 Votes )

Two numbers differ by 4 and their product is 96. Find the numbers.

Answer :

Let the two numbers be x and y.

According to the question,


x – y = 4 …(i)


Also, x×y = 96


…(ii)


On putting the value of in Eq. (i), we get



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 = – 8 can’t be the one number as it is given that the numbers are positive.



Hence, the two numbers are 8 and 12.


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