Site icon Noon Academy

The difference between the squares of two numbers is

   

. The square of the smaller number is

   

times the larger number. Determine the numbers.
contexto.140

Let us consider the larger number be ‘x’

Smaller number be ‘y’

So according to the question,

   

… (i)

   

… (ii)

Now substitute the value of y in equation (i), we get

   

let us factorize,

   

So,

   

When x =

   

, then

The larger number = x =

   

Smaller number = y =>

   

   

When x =

   

, then

The larger number = x =

   

Smaller number = y =>

   

   

(which is not possible)

∴ The value of x and y are

   

.