SOLUTION: If 2 numbers have a product of 75, a quotient of 3, and a difference of 10, what's the sum of these 2 numbers?

Question 21447: If 2 numbers have a product of 75, a quotient of 3, and a difference of 10, what's the sum of these 2 numbers?
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
let the 2 numbers be x and y .we have
xy=75.......I..........
x/y=3.................II.
x-y=10....................III
.actually 2 relations should do to solve the problem
from II,we have....x/y=3
x=3y.......
substituting in I we get
xy=3y*y=75
y*y=75/3=25
y=5
so x =3y=3*5=15
so 5 and 15 are the 2 numbers .incidentally this satoisfies the third relation of x-y =15-5=10...so no problem this is the answer...otherwise we would have to say NO ANSWER!!!!
RELATED QUESTIONS
The quotient of 2 numbers is 5, their difference is 10, what are these numbers? (answered by stanbon)

Two numbers have a difference of 10 and the sum of 34. What are the numbers? (answered by bucky)

Two numbers have a difference of 10 and the sum of 34. What are the... (answered by checkley77)

What two numbers have a product that is twice their sum and have a difference of 2 (answered by ramkikk66)

Two numbers have a sum of 54 and a quotient of 5. what are the... (answered by london maths tutor)

2. Two numbers have a difference of 36. The sum of these 2 numbers is 6 times the (answered by checkley79)

The sum of two numbers divided by 2 gives a quotient of 26, and their difference divided... (answered by ikleyn)

Two numbers have a difference of 16. Find the numbers if their sum and product is a... (answered by ichigo449)

Two numbers have a difference of 10. What are the numbers if the product is a... (answered by ankor@dixie-net.com)