Question

The product of two numbers is 2475 and their quotient is 11/9. Find the numbers.

Answer 1

⇒ It is given that product of two number is 2475,

⇒ so let us take the first number as x and the second number as y


⇒Therefore we get as = x × y = 2475



Similarly it is also given that , their quotient is 11 / 9


⇒ so we get as ,

x / y = 11/9

( or )

x=11 y / 9


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⇒ Now , let us find the solution -


⇒ ( 11 y / 9 ) × y = 2475

⇒ y = ( 9 /11) × 2475

⇒ y² = 2025

⇒ y = √2025

⇒ y = 45


so , y = + / - 45 because we don''t know whether it is positive or negative


Now let us find the other number -

x = 2475 / y

x = 2475/45

x = 55


⇒Therefore the another number is + / - 55



Therefore, the two numbers are -
⇒ ( 45 , 55)

⇒ ( - 45 , - 55 )