Question

The product of two number is 3024 and their quotient is 2.3, find the number.

Answer 1

Given,

Product of 2 nos. = 3024
Their Quotient= 2.3 = 23/10

So, Let the numbers be x and y

Therefore, x × y= 3024
Quotient = 23/10

x/y= 23/10

or, x= 23y/10

Now, let us find the solution:

(23y/10)×y=3024
➡y^2 =(23/10)×3024
➡y^2 =34776/5
➡y= √34776/5
➡y= 83.3976

So first no.= 83.3976

So y= +/- 83.3976 because we don't know whether the number is positive or negative.

Another no. =
x=3024/ y
x=3024/83.3976
x=36.2599.

So the nos. are (83.3976, 36.2599)

or (-83.3976, -36.2599)