Question

The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is 1 400 2 405 3 200 4 none

Answer 1

The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is 1 400

Answer 2

Answer:

1: 400

Step-by-step explanation:

Given: The product of two numbers is 9375 and the quotient when divided is 15

To find: the sum of two numbers (i.e.,) x+y

Sol:

Let the two numbers be x and y ; As per the given condition

xy = 9375 ( the product of two numbers) [equation 1]

Therefore x can be written as, x = 9375/y

x/y =15 ( when the larger one is divided by the smaller one) [equation 2]

Sub the value of x in equation 2,

(9375/y)/y = 15

=> 9375 /y =15y

=> 9375 = 15y^2

=> y^2 = 9375/15

=> y^2 = 625

=> y = 25

Sub the value of y in equation 1,

x * 25 =9375

x = 9375/25

x = 375

Substituting the value of x and y in x+y,

375 + 25 = 400

Therefore x+y = 400 ( Option 1)