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:

a) 380
b) 395
c) 400
d) 425​

Answer 1

Answer:

c 400

Step-by-step explanation:

let smaller no. be=x

let larger no. be=y

y/x=15

therefore, 15x=y

given,

x*y=9375

15x^2= 9375

x^2= 9375/15

x^2= 625

therefore, x= 25

y= 15*25 = 375

x+y = 25+375=400

Answer 2

Step-by-step explanation:

let x and y be the two numbers

x×y= 9375

x= 9375/y (1)

x/y= 15

putting the value of x

9375/y/y= 15

9375/y²= 15

y²= 9375/15

y= √625

= 25

therefore , one of the number is 25

and the other one (x)

x/y= 15

x= 15×y = 15× 25 = 375

Hence, x+y= 375+25= 400