Question

the product of two numbers is 1575 and their ratio is 9:7 find the numbers​

Answer 1

Answer:

35 and 45

Step-by-step explanation:

Product of two numbers=1575

Let us assume the numbers are x1 & x2.

x1*x2=1575———-(Equ 1)

And the numbers ratio is 9:7

x1/x2 =9/7

x1=(9/7)*x2——-(Equ 2)

Substitute Equ 2 in Equ 1

(9/7)x2*x2=1575

(9/7)*x2^2=1575

x2^2=1575*(7/9)

x2^2=1225

x2=35

Substitute x2 value in Equ 1

x1*35=1575

x1=45

==========================================

Follow me!

Answer 2

Step-by-step explanation:

let x and y be the two numbers

xy = 1575

x = 1575/y—(1)

x:y = 9:7

7x = 9y

x = 9y/7—(2)

from (1) & (2)

1575/y = 9y/7

11025 = 9y^2

1225 = y^2

y = 35

x = 45