SOLUTION: If two numbers are in the ratio of 3 is to 7,and if the difference between their squares is 360, what are these two numbers?

Question 956901: If two numbers are in the ratio of 3 is to 7,and if the difference between their squares is 360, what are these two numbers?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If two numbers are in the ratio of 3 is to 7,and if the difference between their squares is 360, what are these two numbers?
-------------
Two numbers:: 3x and 7x
Equation:
(7x)^2 - (3x)^2 = 360
49x^2 - 9x^2 = 360
40x^2 = 360
x^2 = 9
x = 3
----
3x = 9
7x = 21

RELATED QUESTIONS
Two numbers are in the ratio 2:3. If the sum of their squares is 2925, find these numbers (answered by Boreal)

Two positive numbers are in the ratio of 5:12. If their product is 960, what is the... (answered by stanbon)

Twice the product of two numbers is equal to the sum of their squares. What is the... (answered by ankor@dixie-net.com)

Two numbers are in the ratio 3: 8. Their sum is 44. What is the difference between the... (answered by jim_thompson5910)

Two numbers are in the ratio 3: 8. Their sum is 44. What is the difference between the... (answered by rfer)

Two numbers are in the ratio 3: 8. Their sum is 44. What is the difference between the... (answered by rothauserc,josmiceli)

two numbers are in the ratio of 3:5. if their difference is 38 what is the bigger number? (answered by ewatrrr)

Two numbers are in ratio 3:5 if their difference is 32. Find the... (answered by TimothyLamb)

The difference of two numbers is 35, the difference of their squares is 315. What are... (answered by ikleyn,Alan3354)