Question

3. The product of two numbers is 1575 and their quotient is 9/7. Find the number​

Answer 1

Answer:

45,35

Step-by-step explanation:

Assume the numbers to be : 9x and 7x

from given, we can write

(9x)×(7x)= 1575

63x^2 = 1575

x^2 = 1575/63

x^2 = 25

X = 5

9x = 9×5= 45; 7x=7×5=35

Therefore, numbers are 45,35.

Answer 2

Step-by-step explanation:

let x and y be the numbers

given xy = 1575

x= 1575/y ------(1)

also given x/y =9/7

x = 9y/7 -------- (2)

equating (1) and (2)

1575/y = 9y/7

y²= (1575 × 7)/9

y² = 1225

y = 35

substitute value of y in (2)

x = 9×35/7

x = 45

answer: x=45 and y=35