Question

the product of two numbers is2025 and their quotient is 9/5.find the numbers?

Answer 1

Hey


Let two numbers be x and y .


Now ,


product of these numbers :-


x * y = 2025 ––– ( i )


quotient of these numbers :-


x / y = 9 / 5


=> x = 9y / 5 .


Now putting the value if x in eq ( i )


x * y = 2025


=> 9y / 5 * y = 2025


=> 9y² = 2025 * 5


=> y² = 225 * 5


=> y = √ 225 * 5


=> y = 15 √5 .


So,


x = 9 * y / 5


x = 9 * 15 √5 / 5


x = 9 * 3 √5


x = 27√5


♦ Answer ♦


thanks :)

Answer 2

Let one of the numbers be x. Product is 2025

Other number is 2025 / x

x * 2025 / x = 2025

Therefore

x/2025 / x = 9/5

x^2 / 2025 = 9/5

x^2 / (45)^2 = 9/5

5x = 45 * 9

x = 405 / 5

x = 81

2025 / 81 = 25

Other number is 25