Question

The product of two numbers is 1575 and their quotient is 9/7 . Find the numbers . Best answer will be marked as brainliest

Answer 1

Hey mate !!

Thanks for the question !!

Here's the answer !!

Given:

Product of two numbers = 1575

The quotient of two numbers = 9 / 7

To find :

The two numbers = ?

Proof :

Let the two numbers be ' x ' and ' y '. So according to the question,

= x * y = 1575

=> x = 1575 / y   -----( 1 )

Also,

= x / y = 9 / 7

Cross multiplying the terms we get,

= 7x = 9y   -----( 2 )

Now substitute the value of ' x ' from ( 1 ) in ( 2 ). We get,

= 7 ( 1575 / y ) = 9y

= 7 ( 1575 ) / y = 9y

= 11025 / y = 9y

Transposing ' y ' from LHS to RHS, we get,

= 11025 = 9y * y

=> 11025 = 9y²

Transposing 9 from RHS to LHS, we get ,

= 11025 / 9 = y²

= 1225 = y²

=> y = √ 1225

=> y = 35

=> x = 1575 / y

=> x = 1575 / 35

=> x = 45.

Therefore the numbers are 35 and 45.

Hope my answer helped !!

Cheers !!